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23097888 = 25321123317
BaseRepresentation
bin101100000011…
…1001000100000
31121110111100100
41120013020200
521403113023
62143022400
7400220532
oct130071040
947414310
1023097888
1112046870
12789aa00
134a294b8
1430d3852
152063c43
hex1607220

23097888 has 144 divisors (see below), whose sum is σ = 75007296. Its totient is φ = 6673920.

The previous prime is 23097881. The next prime is 23097913. The reversal of 23097888 is 88879032.

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 (23097881) 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, 72706 + ... + 73022.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 223097888 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 23097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37503648).

23097888 is an abundant number, since it is smaller than the sum of its proper divisors (51909408).

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

23097888 is a wasteful number, since it uses less digits than its factorization.

23097888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 23097888 is about 4806.0262171570. The cubic root of 23097888 is about 284.7895769026.

The spelling of 23097888 in words is "twenty-three million, ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 317 352 368 396 414 506 528 552 634 736 759 792 828 951 1012 1056 1104 1268 1518 1584 1656 1902 2024 2208 2277 2536 2853 3036 3168 3312 3487 3804 4048 4554 5072 5706 6072 6624 6974 7291 7608 8096 9108 10144 10461 11412 12144 13948 14582 15216 18216 20922 21873 22824 24288 27896 29164 30432 31383 36432 41844 43746 45648 55792 58328 62766 65619 72864 80201 83688 87492 91296 111584 116656 125532 131238 160402 167376 174984 233312 240603 251064 262476 320804 334752 349968 481206 502128 524952 641608 699936 721809 962412 1004256 1049904 1283216 1443618 1924824 2099808 2566432 2887236 3849648 5774472 7699296 11548944 23097888