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238752216 = 2332171311489
BaseRepresentation
bin11100011101100…
…01000111011000
3121122020212110200
432032301013120
5442110032331
635405142200
75626234413
oct1616610730
9548225420
10238752216
1111285108a
1267b5a960
133a604c01
14239ccb7a
1515e615e6
hexe3b11d8

238752216 has 96 divisors (see below), whose sum is σ = 690346800. Its totient is φ = 74280960.

The previous prime is 238752181. The next prime is 238752257. The reversal of 238752216 is 612257832.

238752216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159600 + ... + 161088.

Almost surely, 2238752216 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 238752216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345173400).

238752216 is an abundant number, since it is smaller than the sum of its proper divisors (451594584).

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

238752216 is a wasteful number, since it uses less digits than its factorization.

238752216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 238752216 is about 15451.6088482721. The cubic root of 238752216 is about 620.3676418243.

The spelling of 238752216 in words is "two hundred thirty-eight million, seven hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 131 136 153 204 262 306 393 408 524 612 786 1048 1179 1224 1489 1572 2227 2358 2978 3144 4454 4467 4716 5956 6681 8908 8934 9432 11912 13362 13401 17816 17868 20043 25313 26724 26802 35736 40086 50626 53448 53604 75939 80172 101252 107208 151878 160344 195059 202504 227817 303756 390118 455634 585177 607512 780236 911268 1170354 1560472 1755531 1822536 2340708 3316003 3511062 4681416 6632006 7022124 9948009 13264012 14044248 19896018 26528024 29844027 39792036 59688054 79584072 119376108 238752216