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22112142432 = 253643358219
BaseRepresentation
bin10100100101111111…
…001000010001100000
32010002000220012222020
4110211333020101200
5330241202024212
614054055541440
71411650052362
oct244577102140
963060805866
1022112142432
119417800986
12435138a880
132115157563
1410daa12d32
158963d0d8c
hex525fc8460

22112142432 has 48 divisors (see below), whose sum is σ = 58134807360. Its totient is φ = 7359230592.

The previous prime is 22112142391. The next prime is 22112142439. The reversal of 22112142432 is 23424121122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112142439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117382 + ... + 240837.

It is an arithmetic number, because the mean of its divisors is an integer number (1211141820).

Almost surely, 222112142432 is an apocalyptic number.

It is an amenable number.

22112142432 is an abundant number, since it is smaller than the sum of its proper divisors (36022664928).

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

22112142432 is a wasteful number, since it uses less digits than its factorization.

22112142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358875 (or 358867 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 22112142432 its reverse (23424121122), we get a palindrome (45536263554).

The spelling of 22112142432 in words is "twenty-two billion, one hundred twelve million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 643 1286 1929 2572 3858 5144 7716 10288 15432 20576 30864 61728 358219 716438 1074657 1432876 2149314 2865752 4298628 5731504 8597256 11463008 17194512 34389024 230334817 460669634 691004451 921339268 1382008902 1842678536 2764017804 3685357072 5528035608 7370714144 11056071216 22112142432