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23156320 = 2551159223
BaseRepresentation
bin101100001010…
…1011001100000
31121120110111111
41120111121200
521412000240
62144153104
7400553065
oct130253140
947513444
1023156320
1112086760
127908794
134a49c85
14310ac6c
1520761ea
hex1615660

23156320 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 8240640.

The previous prime is 23156293. The next prime is 23156321. The reversal of 23156320 is 2365132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23156291 and 23156300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23156321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103729 + ... + 103951.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 223156320 is an apocalyptic number.

23156320 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 23156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

23156320 is an abundant number, since it is smaller than the sum of its proper divisors (37807520).

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

23156320 is a wasteful number, since it uses less digits than its factorization.

23156320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 23156320 is about 4812.1014120652. The cubic root of 23156320 is about 285.0295239754.

The spelling of 23156320 in words is "twenty-three million, one hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 223 236 295 352 440 446 472 590 649 880 892 944 1115 1180 1298 1760 1784 1888 2230 2360 2453 2596 3245 3568 4460 4720 4906 5192 6490 7136 8920 9440 9812 10384 12265 12980 13157 17840 19624 20768 24530 25960 26314 35680 39248 49060 51920 52628 65785 78496 98120 103840 105256 131570 144727 196240 210512 263140 289454 392480 421024 526280 578908 723635 1052560 1157816 1447270 2105120 2315632 2894540 4631264 5789080 11578160 23156320