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22120254024 = 23311194409939
BaseRepresentation
bin10100100110011110…
…000100101001001000
32010002121011022222120
4110212132010221020
5330300241112044
614054545451240
71412106025341
oct244636045110
963077138876
1022120254024
119421341280
124354040b20
132116a3770b
1410dbb250c8
15896e84519
hex526784a48

22120254024 has 64 divisors (see below), whose sum is σ = 63503136000. Its totient is φ = 6350310720.

The previous prime is 22120254007. The next prime is 22120254029. The reversal of 22120254024 is 42045202122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22120253985 and 22120254003.

It is not an unprimeable number, because it can be changed into a prime (22120254029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2199954 + ... + 2209985.

It is an arithmetic number, because the mean of its divisors is an integer number (992236500).

Almost surely, 222120254024 is an apocalyptic number.

22120254024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22120254024 is an abundant number, since it is smaller than the sum of its proper divisors (41382881976).

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

22120254024 is a wasteful number, since it uses less digits than its factorization.

22120254024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409978 (or 4409974 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 22120254024 its reverse (42045202122), we get a palindrome (64165456146).

The spelling of 22120254024 in words is "twenty-two billion, one hundred twenty million, two hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 4409939 8819878 13229817 17639756 26459634 35279512 48509329 52919268 83788841 97018658 105838536 145527987 167577682 194037316 251366523 291055974 335155364 388074632 502733046 582111948 670310728 921677251 1005466092 1164223896 1843354502 2010932184 2765031753 3686709004 5530063506 7373418008 11060127012 22120254024