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23216328 = 2333195657
BaseRepresentation
bin101100010010…
…0000011001000
31121200111211000
41120210003020
521420410303
62145335000
7401223042
oct130440310
947614730
1023216328
1112117853
127937460
134a6b395
143124a92
152088da3
hex16240c8

23216328 has 64 divisors (see below), whose sum is σ = 67896000. Its totient is φ = 7330176.

The previous prime is 23216293. The next prime is 23216341. The reversal of 23216328 is 82361232.

23216328 is a `hidden beast` number, since 2 + 3 + 21 + 632 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 1276 + ... + 6932.

It is an arithmetic number, because the mean of its divisors is an integer number (1060875).

Almost surely, 223216328 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 23216328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948000).

23216328 is an abundant number, since it is smaller than the sum of its proper divisors (44679672).

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

23216328 is a wasteful number, since it uses less digits than its factorization.

23216328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5681 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23216328 is about 4818.3324916407. The cubic root of 23216328 is about 285.2755230267.

It can be divided in two parts, 2321 and 6328, that added together give a square (8649 = 932).

The spelling of 23216328 in words is "twenty-three million, two hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 5657 11314 16971 22628 33942 45256 50913 67884 101826 107483 135768 152739 203652 214966 305478 322449 407304 429932 610956 644898 859864 967347 1221912 1289796 1934694 2579592 2902041 3869388 5804082 7738776 11608164 23216328