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238453116 = 2231119313067
BaseRepresentation
bin11100011011010…
…00000101111100
3121121200200011220
432031220011330
5442020444431
635354513340
75623550406
oct1615500574
9547620156
10238453116
111126673a0
1267a35850
133a52ba25
1423951b76
1515e02b96
hexe36817c

238453116 has 96 divisors (see below), whose sum is σ = 659742720. Its totient is φ = 66225600.

The previous prime is 238453099. The next prime is 238453129. The reversal of 238453116 is 611354832.

238453116 is digitally balanced in base 2 and base 3, because in such bases 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76215 + ... + 79281.

It is an arithmetic number, because the mean of its divisors is an integer number (6872320).

Almost surely, 2238453116 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 238453116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329871360).

238453116 is an abundant number, since it is smaller than the sum of its proper divisors (421289604).

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

238453116 is a wasteful number, since it uses less digits than its factorization.

238453116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3133 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 238453116 is about 15441.9272113295. The cubic root of 238453116 is about 620.1084756436.

It can be divided in two parts, 238 and 453116, that added together give a palindrome (453354).

The spelling of 238453116 in words is "two hundred thirty-eight million, four hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 836 1023 1178 1254 1364 1767 2046 2356 2508 3067 3534 4092 6134 6479 7068 9201 12268 12958 18402 19437 25916 33737 36804 38874 58273 67474 77748 95077 101211 116546 134948 174819 190154 202422 233092 285231 349638 380308 404844 570462 641003 699276 1045847 1140924 1282006 1806463 1923009 2091694 2564012 3137541 3612926 3846018 4183388 5419389 6275082 7225852 7692036 10838778 12550164 19871093 21677556 39742186 59613279 79484372 119226558 238453116