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220423442020232 = 2311611011792271281
BaseRepresentation
bin110010000111100101010100…
…111101100011011110001000
31001220110021102122221221120112
4302013211110331203132020
5212342404202124121412
62100445044211413452
764300032243202643
oct6207452475433610
91056407378857515
10220423442020232
1164263069658520
122087b6588b4288
1395cbac2704929
143c607a1514a5a
151a73abd842722
hexc87954f63788

220423442020232 has 128 divisors (see below), whose sum is σ = 465380230723200. Its totient is φ = 97029081600000.

The previous prime is 220423442020211. The next prime is 220423442020253. The reversal of 220423442020232 is 232020244324022.

It is a happy number.

220423442020232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220423442020211) and next prime (220423442020253).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95912432 + ... + 98183712.

It is an arithmetic number, because the mean of its divisors is an integer number (3635783052525).

Almost surely, 2220423442020232 is an apocalyptic number.

220423442020232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220423442020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232690115361600).

220423442020232 is an abundant number, since it is smaller than the sum of its proper divisors (244956788702968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220423442020232 is a wasteful number, since it uses less digits than its factorization.

220423442020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271639 (or 2271635 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 220423442020232 its reverse (232020244324022), we get a palindrome (452443686344254).

The spelling of 220423442020232 in words is "two hundred twenty trillion, four hundred twenty-three billion, four hundred forty-two million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 101 122 179 202 244 358 404 488 671 716 808 1111 1342 1432 1969 2222 2684 3938 4444 5368 6161 7876 8888 10919 12322 15752 18079 21838 24644 36158 43676 49288 67771 72316 87352 120109 135542 144632 198869 240218 271084 397738 480436 542168 795476 960872 1102819 1590952 2205638 2271281 4411276 4542562 8822552 9085124 12131009 18170248 24262018 24984091 48524036 49968182 97048072 99936364 138548141 199872728 229399381 277096282 406559299 458798762 554192564 813118598 917597524 1108385128 1524029551 1626237196 1835195048 2523393191 3048059102 3252474392 4472152289 5046786382 6096118204 8944304578 10093572764 12192236408 13993362241 17888609156 20187145528 24800117239 27986724482 35777218312 41062489199 49600234478 55973448964 82124978398 99200468956 111946897928 153926984651 164249956796 198400937912 272801289629 307853969302 328499913592 451687381189 545602579258 615707938604 903374762378 1091205158516 1231415877208 1806749524756 2182410317032 2504811841139 3613499049512 5009623682278 10019247364556 20038494729112 27552930252529 55105860505058 110211721010116 220423442020232