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22033110312 = 23322861106961
BaseRepresentation
bin10100100001010001…
…101001010100101000
32002212112011222021200
4110201101221110220
5330110434012222
614042154004200
71410000230133
oct244121512450
962775158250
1022033110312
119387130984
12432aa16660
1321019758a5
1410d031d21a
1588e4bdeac
hex521469528

22033110312 has 48 divisors (see below), whose sum is σ = 59694422580. Its totient is φ = 7341734400.

The previous prime is 22033110289. The next prime is 22033110313. The reversal of 22033110312 is 21301133022.

22033110312 is a `hidden beast` number, since 2 + 20 + 331 + 1 + 0 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21713201316 + 319908996 = 147354^2 + 17886^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22033110313) 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 11 ways as a sum of consecutive naturals, for example, 152512 + ... + 259472.

Almost surely, 222033110312 is an apocalyptic number.

It is an amenable number.

22033110312 is an abundant number, since it is smaller than the sum of its proper divisors (37661312268).

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

22033110312 is a wasteful number, since it uses less digits than its factorization.

22033110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109834 (or 109827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22033110312 its reverse (21301133022), we get a palindrome (43334243334).

The spelling of 22033110312 in words is "twenty-two billion, thirty-three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2861 5722 8583 11444 17166 22888 25749 34332 51498 68664 102996 106961 205992 213922 320883 427844 641766 855688 962649 1283532 1925298 2567064 3850596 7701192 306015421 612030842 918046263 1224061684 1836092526 2448123368 2754138789 3672185052 5508277578 7344370104 11016555156 22033110312