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233130440 = 23550311587
BaseRepresentation
bin11011110010101…
…00100111001000
3121020200020211202
431321110213020
5434140133230
635044443332
75530401404
oct1571244710
9536606752
10233130440
1110a661394
12660a9548
13393b710a
1422d68104
1515700a45
hexde549c8

233130440 has 32 divisors (see below), whose sum is σ = 525631680. Its totient is φ = 93058752.

The previous prime is 233130421. The next prime is 233130463. The reversal of 233130440 is 44031332.

233130440 is digitally balanced in base 2, 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14327 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (16425990).

Almost surely, 2233130440 is an apocalyptic number.

233130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130440 is an abundant number, since it is smaller than the sum of its proper divisors (292501240).

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

233130440 is a wasteful number, since it uses less digits than its factorization.

233130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233130440 is about 15268.6096289086. The cubic root of 233130440 is about 615.4597571225.

Adding to 233130440 its reverse (44031332), we get a palindrome (277161772).

The spelling of 233130440 in words is "two hundred thirty-three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 503 1006 2012 2515 4024 5030 10060 11587 20120 23174 46348 57935 92696 115870 231740 463480 5828261 11656522 23313044 29141305 46626088 58282610 116565220 233130440