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22464980544 = 2634322711987
BaseRepresentation
bin10100111011000001…
…000110011001000000
32010222121211020212110
4110323001012121000
5332002013334134
614153102255320
71423463120046
oct247301063100
963877736773
1022464980544
119588994426
12442b587540
1321702954c6
14113181c396
158b737a7e9
hex53b046640

22464980544 has 112 divisors (see below), whose sum is σ = 61093916928. Its totient is φ = 7281351168.

The previous prime is 22464980537. The next prime is 22464980557. The reversal of 22464980544 is 44508946422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22464980493 and 22464980502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868119 + ... + 1880105.

Almost surely, 222464980544 is an apocalyptic number.

22464980544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22464980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30546958464).

22464980544 is an abundant number, since it is smaller than the sum of its proper divisors (38628936384).

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

22464980544 is a wasteful number, since it uses less digits than its factorization.

22464980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 22464980544 in words is "twenty-two billion, four hundred sixty-four million, nine hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 227 258 344 454 516 681 688 908 1032 1362 1376 1816 2064 2724 2752 3632 4128 5448 7264 8256 9761 10896 11987 14528 19522 21792 23974 29283 35961 39044 43584 47948 58566 71922 78088 95896 117132 143844 156176 191792 234264 287688 312352 383584 468528 515441 575376 624704 767168 937056 1030882 1150752 1546323 1874112 2061764 2301504 2721049 3092646 4123528 5442098 6185292 8163147 8247056 10884196 12370584 16326294 16494112 21768392 24741168 32652588 32988224 43536784 49482336 65305176 87073568 98964672 117005107 130610352 174147136 234010214 261220704 351015321 468020428 522441408 702030642 936040856 1404061284 1872081712 2808122568 3744163424 5616245136 7488326848 11232490272 22464980544