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22242001032 = 23331015092003
BaseRepresentation
bin10100101101101110…
…100000000010001000
32010102002020201111000
4110231232200002020
5331022423013112
614115015135000
71415114614026
oct245556400210
963362221430
1022242001032
119484036639
124388974460
132136023874
14110dd77716
158a29d27dc
hex52dba0088

22242001032 has 128 divisors (see below), whose sum is σ = 62548848000. Its totient is φ = 7322515200.

The previous prime is 22242001021. The next prime is 22242001039. The reversal of 22242001032 is 23010024222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22242000996 and 22242001014.

It is not an unprimeable number, because it can be changed into a prime (22242001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11103343 + ... + 11105345.

It is an arithmetic number, because the mean of its divisors is an integer number (488662875).

Almost surely, 222242001032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31274424000).

22242001032 is an abundant number, since it is smaller than the sum of its proper divisors (40306846968).

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

22242001032 is a wasteful number, since it uses less digits than its factorization.

22242001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22242001032 its reverse (23010024222), we get a palindrome (45252025254).

The spelling of 22242001032 in words is "twenty-two billion, two hundred forty-two million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 509 606 808 909 1018 1212 1527 1818 2003 2036 2424 2727 3054 3636 4006 4072 4581 5454 6009 6108 7272 8012 9162 10908 12018 12216 13743 16024 18027 18324 21816 24036 27486 36054 36648 48072 51409 54081 54972 72108 102818 108162 109944 144216 154227 202303 205636 216324 308454 404606 411272 432648 462681 606909 616908 809212 925362 1019527 1213818 1233816 1388043 1618424 1820727 1850724 2039054 2427636 2776086 3058581 3641454 3701448 4078108 4855272 5462181 5552172 6117162 7282908 8156216 9175743 10924362 11104344 12234324 14565816 18351486 21848724 24468648 27527229 36702972 43697448 55054458 73405944 102972227 110108916 205944454 220217832 308916681 411888908 617833362 823777816 926750043 1235666724 1853500086 2471333448 2780250129 3707000172 5560500258 7414000344 11121000516 22242001032