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23290272 = 2532176771
BaseRepresentation
bin101100011011…
…0000110100000
31121211021020200
41120312012200
521430242042
62151105200
7401651445
oct130660640
947737220
1023290272
1112168365
127972200
134a95c35
1431439cc
1520a0c4c
hex16361a0

23290272 has 144 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 7096320.

The previous prime is 23290271. The next prime is 23290273. The reversal of 23290272 is 27209232.

It is an interprime number because it is at equal distance from previous prime (23290271) and next prime (23290273).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (23290271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327997 + ... + 328067.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 223290272 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 23290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

23290272 is an abundant number, since it is smaller than the sum of its proper divisors (48886560).

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

23290272 is a wasteful number, since it uses less digits than its factorization.

23290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23290272 is about 4825.9995855781. Note that the first 3 decimals coincide. The cubic root of 23290272 is about 285.5780695446.

The spelling of 23290272 in words is "twenty-three million, two hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 67 68 71 72 96 102 134 136 142 144 153 201 204 213 268 272 284 288 306 402 408 426 536 544 568 603 612 639 804 816 852 1072 1136 1139 1206 1207 1224 1278 1608 1632 1704 2144 2272 2278 2412 2414 2448 2556 3216 3408 3417 3621 4556 4757 4824 4828 4896 5112 6432 6816 6834 7242 9112 9514 9648 9656 10224 10251 10863 13668 14271 14484 18224 19028 19296 19312 20448 20502 21726 27336 28542 28968 36448 38056 38624 41004 42813 43452 54672 57084 57936 76112 80869 82008 85626 86904 109344 114168 115872 152224 161738 164016 171252 173808 228336 242607 323476 328032 342504 347616 456672 485214 646952 685008 727821 970428 1293904 1370016 1455642 1940856 2587808 2911284 3881712 5822568 7763424 11645136 23290272