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232028160 = 2113571383
BaseRepresentation
bin11011101010001…
…11100000000000
3121011121020210120
431311013200000
5433344400120
635005100240
75515130640
oct1565074000
9534536716
10232028160
11109a79211
1265857680
13390bc490
1422b5c520
1515584140
hexdd47800

232028160 has 384 divisors, whose sum is σ = 924618240. Its totient is φ = 48365568.

The previous prime is 232028141. The next prime is 232028161. The reversal of 232028160 is 61820232.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232028160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232028161) 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 31 ways as a sum of consecutive naturals, for example, 2795479 + ... + 2795561.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2232028160 is an apocalyptic number.

232028160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

232028160 is an abundant number, since it is smaller than the sum of its proper divisors (692590080).

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

232028160 is a wasteful number, since it uses less digits than its factorization.

232028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 232028160 is about 15232.4705809662. The cubic root of 232028160 is about 614.4882251779.

Adding to 232028160 its reverse (61820232), we get a palindrome (293848392).

The spelling of 232028160 in words is "two hundred thirty-two million, twenty-eight thousand, one hundred sixty".