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21220224144 = 2437591070431
BaseRepresentation
bin10011110000110100…
…101110110010010000
32000202212121002002120
4103300310232302100
5321424334133034
613425355014240
71350566633460
oct236064566220
960685532076
1021220224144
118aaa299529
12414273a380
132002430562
14105439bba0
15842e4dc49
hex4f0d2ec90

21220224144 has 80 divisors (see below), whose sum is σ = 63712112640. Its totient is φ = 5960154240.

The previous prime is 21220224107. The next prime is 21220224161. The reversal of 21220224144 is 44142202212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515392 + ... + 555039.

It is an arithmetic number, because the mean of its divisors is an integer number (796401408).

Almost surely, 221220224144 is an apocalyptic number.

21220224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21220224144 is an abundant number, since it is smaller than the sum of its proper divisors (42491888496).

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

21220224144 is a wasteful number, since it uses less digits than its factorization.

21220224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070508 (or 1070502 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21220224144 its reverse (44142202212), we get a palindrome (65362426356).

The spelling of 21220224144 in words is "twenty-one billion, two hundred twenty million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 19824 1070431 2140862 3211293 4281724 6422586 7493017 8563448 12845172 14986034 17126896 22479051 25690344 29972068 44958102 51380688 59944136 63155429 89916204 119888272 126310858 179832408 189466287 252621716 359664816 378932574 442088003 505243432 757865148 884176006 1010486864 1326264009 1515730296 1768352012 2652528018 3031460592 3536704024 5305056036 7073408048 10610112072 21220224144