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22452624964 = 22741121392
BaseRepresentation
bin10100111010010001…
…111101111001000100
32010221202120112012101
4110322101331321010
5331440332444324
614151541401444
71423253110000
oct247221757104
963852515171
1022452624964
119581a15500
124427409284
13216a85a703
14112dd23700
158b6239944
hex53a47de44

22452624964 has 135 divisors (see below), whose sum is σ = 50749052991. Its totient is φ = 8684842320.

The previous prime is 22452624947. The next prime is 22452624973. The reversal of 22452624964 is 46942625422.

The square root of 22452624964 is 149842.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 161529607 + ... + 161529745.

Almost surely, 222452624964 is an apocalyptic number.

22452624964 is the 149842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22452624964

22452624964 is an abundant number, since it is smaller than the sum of its proper divisors (28296428027).

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

22452624964 is an equidigital number, since it uses as much as digits as its factorization.

22452624964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 159 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 22452624964 in words is "twenty-two billion, four hundred fifty-two million, six hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 139 154 196 242 278 308 343 484 539 556 686 847 973 1078 1372 1529 1694 1946 2156 2401 3058 3388 3773 3892 4802 5929 6116 6811 7546 9604 10703 11858 13622 15092 16819 19321 21406 23716 26411 27244 33638 38642 41503 42812 47677 52822 67276 74921 77284 83006 95354 105644 117733 135247 149842 166012 190708 212531 235466 270494 290521 299684 333739 425062 470932 524447 540988 581042 667478 824131 850124 946729 1048894 1162084 1334956 1487717 1648262 1893458 2097788 2337841 2975434 3296524 3671129 3786916 4675682 5768917 5950868 6627103 7342258 9351364 10414019 11537834 13254206 14684516 16364887 20828038 23075668 26508412 32729774 40382419 41656076 46389721 65459548 72898133 80764838 92779442 114554209 145796266 161529676 185558884 229108418 291592532 458216836 510286931 801879463 1020573862 1603758926 2041147724 3207517852 5613156241 11226312482 22452624964