Search a number
-
+
22546568960 = 285145912073
BaseRepresentation
bin10100111111111000…
…010101011100000000
32011012022100101010122
4110333320111130000
5332133410201320
614205135115412
71425503450126
oct247770253400
964168311118
1022546568960
11961aa4aa73
124452972b68
132184160886
14113c5b9916
158be5e4d25
hex53fe15700

22546568960 has 72 divisors (see below), whose sum is σ = 54047570640. Its totient is φ = 9011699712.

The previous prime is 22546568917. The next prime is 22546569011. The reversal of 22546568960 is 6986564522.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1861484 + ... + 1873556.

Almost surely, 222546568960 is an apocalyptic number.

22546568960 is a gapful number since it is divisible by the number (20) 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 22546568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27023785320).

22546568960 is an abundant number, since it is smaller than the sum of its proper divisors (31501001680).

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

22546568960 is a wasteful number, since it uses less digits than its factorization.

22546568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13539 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 22546568960 in words is "twenty-two billion, five hundred forty-six million, five hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1459 2918 5836 7295 11672 12073 14590 23344 24146 29180 46688 48292 58360 60365 93376 96584 116720 120730 186752 193168 233440 241460 373504 386336 466880 482920 772672 933760 965840 1545344 1867520 1931680 3090688 3863360 7726720 15453440 17614507 35229014 70458028 88072535 140916056 176145070 281832112 352290140 563664224 704580280 1127328448 1409160560 2254656896 2818321120 4509313792 5636642240 11273284480 22546568960