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22726656 = 21134137
BaseRepresentation
bin101011010110…
…0100000000000
31120202122010000
41112230200000
521304223111
62131040000
7364113321
oct126544000
946678100
1022726656
1111912967
127740000
134929534
143038448
151eddc56
hex15ac800

22726656 has 120 divisors (see below), whose sum is σ = 68378310. Its totient is φ = 7520256.

The previous prime is 22726651. The next prime is 22726657. The reversal of 22726656 is 65662722.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 4064256 = 4320^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 22726656.

It is not an unprimeable number, because it can be changed into a prime (22726651) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165820 + ... + 165956.

Almost surely, 222726656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34189155).

22726656 is an abundant number, since it is smaller than the sum of its proper divisors (45651654).

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

22726656 is an equidigital number, since it uses as much as digits as its factorization.

22726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 22726656 is about 4767.2482628871. The cubic root of 22726656 is about 283.2556052836.

The spelling of 22726656 in words is "twenty-two million, seven hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 256 274 288 324 384 411 432 512 548 576 648 768 822 864 1024 1096 1152 1233 1296 1536 1644 1728 2048 2192 2304 2466 2592 3072 3288 3456 3699 4384 4608 4932 5184 6144 6576 6912 7398 8768 9216 9864 10368 11097 13152 13824 14796 17536 18432 19728 20736 22194 26304 27648 29592 35072 39456 41472 44388 52608 55296 59184 70144 78912 82944 88776 105216 118368 140288 157824 165888 177552 210432 236736 280576 315648 355104 420864 473472 631296 710208 841728 946944 1262592 1420416 1893888 2525184 2840832 3787776 5681664 7575552 11363328 22726656