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22401400224 = 253740498233
BaseRepresentation
bin10100110111001110…
…100011110110100000
32010211012012001001210
4110313032203312200
5331334224301344
614142511430120
71422061521510
oct246716436640
963735161053
1022401400224
119556008605
124412225340
132160063a08
1411271cb840
158b19bbdb9
hex5373a3da0

22401400224 has 96 divisors (see below), whose sum is σ = 67228963200. Its totient is φ = 6398042112.

The previous prime is 22401400211. The next prime is 22401400243. The reversal of 22401400224 is 42200410422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22401400224.

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, 2716812 + ... + 2725044.

It is an arithmetic number, because the mean of its divisors is an integer number (700301700).

Almost surely, 222401400224 is an apocalyptic number.

22401400224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22401400224 is an abundant number, since it is smaller than the sum of its proper divisors (44827562976).

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

22401400224 is a wasteful number, since it uses less digits than its factorization.

22401400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22401400224 its reverse (42200410422), we get a palindrome (64601810646).

The spelling of 22401400224 in words is "twenty-two billion, four hundred one million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4049 8098 8233 12147 16196 16466 24294 24699 28343 32392 32932 48588 49398 56686 57631 64784 65864 85029 97176 98796 113372 115262 129568 131728 170058 172893 194352 197592 226744 230524 263456 340116 345786 388704 395184 453488 461048 680232 691572 790368 906976 922096 1360464 1383144 1844192 2720928 2766288 5532576 33335417 66670834 100006251 133341668 200012502 233347919 266683336 400025004 466695838 533366672 700043757 800050008 933391676 1066733344 1400087514 1600100016 1866783352 2800175028 3200200032 3733566704 5600350056 7467133408 11200700112 22401400224