Search a number
-
+
232251664 = 24371492633
BaseRepresentation
bin11011101011111…
…10000100010000
3121012000121101111
431311332010100
5433424023124
635013543104
75520051361
oct1565760420
9535017344
10232251664
1110a111127
1265944a94
133916a128
1422bb9b68
15155ca494
hexdd7e110

232251664 has 40 divisors (see below), whose sum is σ = 465427800. Its totient is φ = 112186368.

The previous prime is 232251661. The next prime is 232251673. The reversal of 232251664 is 466152232.

232251664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 221414400 = 3292^2 + 14880^2 .

It is not an unprimeable number, because it can be changed into a prime (232251661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86892 + ... + 89524.

It is an arithmetic number, because the mean of its divisors is an integer number (11635695).

Almost surely, 2232251664 is an apocalyptic number.

It is an amenable number.

232251664 is an abundant number, since it is smaller than the sum of its proper divisors (233176136).

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

232251664 is a wasteful number, since it uses less digits than its factorization.

232251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2821 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 232251664 is about 15239.8052480995. The cubic root of 232251664 is about 614.6854663253.

The spelling of 232251664 in words is "two hundred thirty-two million, two hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 37 74 148 149 296 298 592 596 1192 2384 2633 5266 5513 10532 11026 21064 22052 42128 44104 88208 97421 194842 389684 392317 779368 784634 1558736 1569268 3138536 6277072 14515729 29031458 58062916 116125832 232251664