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23328216 = 2333176353
BaseRepresentation
bin101100011111…
…1010111011000
31121220012022000
41120333113120
521433000331
62152001000
7402200202
oct130772730
947805260
1023328216
111219391a
127990160
134aaa2a2
143153772
1520ac0e6
hex163f5d8

23328216 has 64 divisors (see below), whose sum is σ = 68623200. Its totient is φ = 7317504.

The previous prime is 23328211. The next prime is 23328251. The reversal of 23328216 is 61282332.

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 a self number, because there is not a number n which added to its sum of digits gives 23328216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328211) 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, 496 + ... + 6848.

Almost surely, 223328216 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 23328216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34311600).

23328216 is an abundant number, since it is smaller than the sum of its proper divisors (45294984).

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

23328216 is a wasteful number, since it uses less digits than its factorization.

23328216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6375 counting only the distinct ones).

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

The square root of 23328216 is about 4829.9291920276. The cubic root of 23328216 is about 285.7330712410.

The spelling of 23328216 in words is "twenty-three million, three hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 6353 12706 19059 25412 38118 50824 57177 76236 108001 114354 152472 171531 216002 228708 324003 343062 432004 457416 648006 686124 864008 972009 1296012 1372248 1944018 2592024 2916027 3888036 5832054 7776072 11664108 23328216