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220022111020 = 225232113177151
BaseRepresentation
bin1100110011101001010…
…1101111101100101100
3210000220201102022100211
43030322111233230230
512101101130023040
6245024325232204
721616232041345
oct3147225575454
9700821368324
10220022111020
1185346822598
1236784b62664
131799546904a
14a9132c10cc
155acb10b8ea
hex333a56fb2c

220022111020 has 96 divisors (see below), whose sum is σ = 486016505856. Its totient is φ = 83507424000.

The previous prime is 220022111003. The next prime is 220022111021. The reversal of 220022111020 is 20111220022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220022111021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30764445 + ... + 30771595.

It is an arithmetic number, because the mean of its divisors is an integer number (5062671936).

Almost surely, 2220022111020 is an apocalyptic number.

220022111020 is a gapful number since it is divisible by the number (20) 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 220022111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243008252928).

220022111020 is an abundant number, since it is smaller than the sum of its proper divisors (265994394836).

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

220022111020 is a wasteful number, since it uses less digits than its factorization.

220022111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220022111020 its reverse (20111220022), we get a palindrome (240133331042).

The spelling of 220022111020 in words is "two hundred twenty billion, twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 317 422 460 634 844 1055 1268 1585 2110 3170 4220 4853 6340 7151 7291 9706 14302 14582 19412 24265 28604 29164 35755 36455 48530 66887 71510 72910 97060 133774 143020 145820 164473 267548 328946 334435 657892 668870 822365 1337740 1508861 1538401 1644730 2266867 3017722 3076802 3289460 4533734 6035444 6153604 7544305 7692005 9067468 11334335 15088610 15384010 22668670 30177220 30768020 34703803 45337340 52137941 69407606 104275882 138815212 173519015 208551764 260689705 347038030 478308937 521379410 694076060 956617874 1042758820 1913235748 2391544685 4783089370 9566178740 11001105551 22002211102 44004422204 55005527755 110011055510 220022111020