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23800216 = 23112231069
BaseRepresentation
bin101101011001…
…0100110011000
31122210011202111
41122302212120
522043101331
62210042104
7406204246
oct132624630
948704674
1023800216
1112486500
127b79334
134c1408b
143237796
152151db1
hex16b2998

23800216 has 48 divisors (see below), whose sum is σ = 51231600. Its totient is φ = 10338240.

The previous prime is 23800171. The next prime is 23800223. The reversal of 23800216 is 61200832.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21730 + ... + 22798.

It is an arithmetic number, because the mean of its divisors is an integer number (1067325).

Almost surely, 223800216 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 23800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615800).

23800216 is an abundant number, since it is smaller than the sum of its proper divisors (27431384).

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

23800216 is a wasteful number, since it uses less digits than its factorization.

23800216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 23800216 is about 4878.5465048516. The cubic root of 23800216 is about 287.6472984329.

The spelling of 23800216 in words is "twenty-three million, eight hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1069 2024 2138 2783 4276 5566 8552 11132 11759 22264 23518 24587 47036 49174 94072 98348 129349 196696 258698 270457 517396 540914 1034792 1081828 2163656 2975027 5950054 11900108 23800216