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422100001224 = 2332112918377743
BaseRepresentation
bin1100010010001110001…
…11101110000111001000
31111100111212121202100200
412021013013232013020
523403430100014344
6521524323532200
742332013545316
oct6110707560710
91440455552320
10422100001224
111530144a0420
126998052a060
1330a5b104545
14166033350b6
15aea6bcc069
hex62471ee1c8

422100001224 has 96 divisors (see below), whose sum is σ = 1290117628800. Its totient is φ = 123498426240.

The previous prime is 422100001223. The next prime is 422100001261.

422100001224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4221000012242 (a number of 24 digits) contains 22 as substring.

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 = 422100001197 and 422100001206.

It is not an unprimeable number, because it can be changed into a prime (422100001223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9165904 + ... + 9211839.

It is an arithmetic number, because the mean of its divisors is an integer number (13438725300).

Almost surely, 2422100001224 is an apocalyptic number.

422100001224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422100001224 is an abundant number, since it is smaller than the sum of its proper divisors (868017627576).

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

422100001224 is a wasteful number, since it uses less digits than its factorization.

422100001224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18377795 (or 18377788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 42210000 and 1224, that added together give a palindrome (42211224).

The spelling of 422100001224 in words is "four hundred twenty-two billion, one hundred million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 11484 22968 18377743 36755486 55133229 73510972 110266458 147021944 165399687 202155173 220532916 330799374 404310346 441065832 532954547 606465519 661598748 808620692 1065909094 1212931038 1323197496 1598863641 1617241384 1819396557 2131818188 2425862076 3197727282 3638793114 4263636376 4796590923 4851724152 5862500017 6395454564 7277586228 9593181846 11725000034 12790909128 14555172456 17587500051 19186363692 23450000068 35175000102 38372727384 46900000136 52762500153 70350000204 105525000306 140700000408 211050000612 422100001224