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23002272 = 253379337
BaseRepresentation
bin101011110111…
…1110010100000
31121021122012000
41113233302200
521342033042
62141004000
7366342006
oct127576240
947248160
1023002272
1111a90a47
127853600
1349c4b17
1430aaa76
15204574c
hex15efca0

23002272 has 96 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 7547904.

The previous prime is 23002267. The next prime is 23002327. The reversal of 23002272 is 27220032.

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 (18).

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, 68088 + ... + 68424.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 223002272 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 23002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

23002272 is an abundant number, since it is smaller than the sum of its proper divisors (45138528).

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

23002272 is a wasteful number, since it uses less digits than its factorization.

23002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23002272 is about 4796.0683898377. The cubic root of 23002272 is about 284.3960618301.

The spelling of 23002272 in words is "twenty-three million, two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 337 432 474 632 674 711 864 948 1011 1264 1348 1422 1896 2022 2133 2528 2696 2844 3033 3792 4044 4266 5392 5688 6066 7584 8088 8532 9099 10784 11376 12132 16176 17064 18198 22752 24264 26623 32352 34128 36396 48528 53246 68256 72792 79869 97056 106492 145584 159738 212984 239607 291168 319476 425968 479214 638952 718821 851936 958428 1277904 1437642 1916856 2555808 2875284 3833712 5750568 7667424 11501136 23002272