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232320120 = 23357272663
BaseRepresentation
bin11011101100011…
…10110001111000
3121012011002021220
431312032301320
5433433220440
635015232040
75520455064
oct1566166170
9535132256
10232320120
1110a1585aa
1265978620
1339192336
1422bd6aa4
15155e08d0
hexdd8ec78

232320120 has 64 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 61843584.

The previous prime is 232320097. The next prime is 232320133. The reversal of 232320120 is 21023232.

232320120 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232320120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85909 + ... + 88571.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2232320120 is an apocalyptic number.

232320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232320120 is an abundant number, since it is smaller than the sum of its proper divisors (465861000).

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

232320120 is a wasteful number, since it uses less digits than its factorization.

232320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232320120 is about 15242.0510430847. The cubic root of 232320120 is about 614.7458530827.

Adding to 232320120 its reverse (21023232), we get a palindrome (253343352).

It can be divided in two parts, 232320 and 120, that multiplied together give a square (27878400 = 52802).

The spelling of 232320120 in words is "two hundred thirty-two million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 727 1454 2181 2663 2908 3635 4362 5326 5816 7270 7989 8724 10652 10905 13315 14540 15978 17448 21304 21810 26630 29080 31956 39945 43620 53260 63912 79890 87240 106520 159780 319560 1936001 3872002 5808003 7744004 9680005 11616006 15488008 19360010 23232012 29040015 38720020 46464024 58080030 77440040 116160060 232320120