Search a number
-
+
229513968954 = 23237367939007
BaseRepresentation
bin1101010111000000011…
…0010011110100111010
3210221102020000122121200
43111300012103310322
512230021034001304
6253234240515030
722403366355504
oct3256006236472
9727366018550
10229513968954
1189377719986
123859391ba76
1318848ab042a
14b173b6cd74
155e84593e39
hex3570193d3a

229513968954 has 48 divisors (see below), whose sum is σ = 512112427008. Its totient is φ = 74234058336.

The previous prime is 229513968953. The next prime is 229513969007. The reversal of 229513968954 is 459869315922.

229513968954 is a `hidden beast` number, since 2 + 2 + 9 + 513 + 9 + 68 + 9 + 54 = 666.

229513968954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 229513968891 and 229513968900.

It is not an unprimeable number, because it can be changed into a prime (229513968953) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 225082 + ... + 713925.

It is an arithmetic number, because the mean of its divisors is an integer number (10669008896).

Almost surely, 2229513968954 is an apocalyptic number.

229513968954 is an abundant number, since it is smaller than the sum of its proper divisors (282598458054).

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

229513968954 is a wasteful number, since it uses less digits than its factorization.

229513968954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939419 (or 939416 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 229513968954 in words is "two hundred twenty-nine billion, five hundred thirteen million, nine hundred sixty-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 367 666 734 1101 2202 3303 6606 13579 27158 40737 81474 122211 244422 939007 1878014 2817021 5634042 8451063 16902126 34743259 69486518 104229777 208459554 312689331 344615569 625378662 689231138 1033846707 2067693414 3101540121 6203080242 12750776053 25501552106 38252328159 76504656318 114756984477 229513968954