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233130120 = 23351942751
BaseRepresentation
bin11011110010101…
…00100010001000
3121020200020101220
431321110202020
5434140130440
635044442040
75530400436
oct1571244210
9536606356
10233130120
1110a661123
12660a9320
13393b6c22
1422d67d56
15157008d0
hexde54888

233130120 has 32 divisors (see below), whose sum is σ = 699390720. Its totient is φ = 62168000.

The previous prime is 233130083. The next prime is 233130127. The reversal of 233130120 is 21031332.

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 233130120.

It is not an unprimeable number, because it can be changed into a prime (233130127) 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, 971256 + ... + 971495.

It is an arithmetic number, because the mean of its divisors is an integer number (21855960).

Almost surely, 2233130120 is an apocalyptic number.

233130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130120 is an abundant number, since it is smaller than the sum of its proper divisors (466260600).

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

233130120 is a wasteful number, since it uses less digits than its factorization.

233130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942765 (or 1942761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 233130120 is about 15268.5991498893. The cubic root of 233130120 is about 615.4594755245.

Adding to 233130120 its reverse (21031332), we get a palindrome (254161452).

The spelling of 233130120 in words is "two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1942751 3885502 5828253 7771004 9713755 11656506 15542008 19427510 23313012 29141265 38855020 46626024 58282530 77710040 116565060 233130120