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231402004200 = 2333521710324473
BaseRepresentation
bin1101011110000010100…
…0100101111011101000
3211010021210200210002000
43113200220211323220
512242402403113300
6254145444011000
722501233403443
oct3274050457350
9733253623060
10231402004200
118a156442794
1238a20090a60
1318a89cb5053
14b2b280065a
1560451dbc00
hex35e0a25ee8

231402004200 has 384 divisors, whose sum is σ = 852165100800. Its totient is φ = 57511157760.

The previous prime is 231402004199. The next prime is 231402004213. The reversal of 231402004200 is 2400204132.

231402004200 is a `hidden beast` number, since 2 + 3 + 1 + 40 + 200 + 420 + 0 = 666.

231402004200 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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9443164 + ... + 9467636.

It is an arithmetic number, because the mean of its divisors is an integer number (2219179950).

Almost surely, 2231402004200 is an apocalyptic number.

231402004200 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 231402004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426082550400).

231402004200 is an abundant number, since it is smaller than the sum of its proper divisors (620763096600).

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

231402004200 is a wasteful number, since it uses less digits than its factorization.

231402004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24618 (or 24603 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 231402004200 its reverse (2400204132), we get a palindrome (233802208332).

The spelling of 231402004200 in words is "two hundred thirty-one billion, four hundred two million, four thousand, two hundred".