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232540164 = 2232191093119
BaseRepresentation
bin11011101110001…
…00100000000100
3121012120021010200
431313010200010
5434012241124
635024050500
75522362443
oct1567044004
9535507120
10232540164
1110a29895a
1265a63a30
133923b53c
1422c52d5a
1515635bc9
hexddc4804

232540164 has 72 divisors (see below), whose sum is σ = 624624000. Its totient is φ = 72736704.

The previous prime is 232540159. The next prime is 232540169. The reversal of 232540164 is 461045232.

It is an interprime number because it is at equal distance from previous prime (232540159) and next prime (232540169).

It is not an unprimeable number, because it can be changed into a prime (232540169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72997 + ... + 76115.

Almost surely, 2232540164 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 232540164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312312000).

232540164 is an abundant number, since it is smaller than the sum of its proper divisors (392083836).

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

232540164 is a wasteful number, since it uses less digits than its factorization.

232540164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232540164 is about 15249.2676545466. The cubic root of 232540164 is about 614.9398791120.

Adding to 232540164 its reverse (461045232), we get a palindrome (693585396).

The spelling of 232540164 in words is "two hundred thirty-two million, five hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 109 114 171 218 228 327 342 436 654 684 981 1308 1962 2071 3119 3924 4142 6213 6238 8284 9357 12426 12476 18639 18714 24852 28071 37278 37428 56142 59261 74556 112284 118522 177783 237044 339971 355566 533349 679942 711132 1019913 1066698 1359884 2039826 2133396 3059739 4079652 6119478 6459449 12238956 12918898 19378347 25837796 38756694 58135041 77513388 116270082 232540164