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232100320 = 2551785331
BaseRepresentation
bin11011101010110…
…01000111100000
3121011201220210011
431311121013200
5433404202240
635010414304
75515551214
oct1565310740
9534656704
10232100320
1110a018451
1265891394
133911628a
1422b7a944
151559a6ea
hexdd591e0

232100320 has 48 divisors (see below), whose sum is σ = 580598928. Its totient is φ = 87377920.

The previous prime is 232100299. The next prime is 232100327. The reversal of 232100320 is 23001232.

It is a happy number.

232100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232100320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232100327) 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, 39946 + ... + 45385.

It is an arithmetic number, because the mean of its divisors is an integer number (12095811).

Almost surely, 2232100320 is an apocalyptic number.

232100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232100320 is an abundant number, since it is smaller than the sum of its proper divisors (348498608).

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

232100320 is a wasteful number, since it uses less digits than its factorization.

232100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85363 (or 85355 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232100320 is about 15234.8390211384. The cubic root of 232100320 is about 614.5519198524.

Adding to 232100320 its reverse (23001232), we get a palindrome (255101552).

The spelling of 232100320 in words is "two hundred thirty-two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 85331 170662 341324 426655 682648 853310 1365296 1450627 1706620 2730592 2901254 3413240 5802508 6826480 7253135 11605016 13652960 14506270 23210032 29012540 46420064 58025080 116050160 232100320