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231772842 = 23272262781
BaseRepresentation
bin11011101000010…
…01001010101010
3121011010021120100
431310021022222
5433313212332
634555410230
75513015400
oct1564111252
9534107510
10231772842
11109914404
1265753976
13390301c2
1422ad3470
151553367c
hexdd092aa

231772842 has 36 divisors (see below), whose sum is σ = 584164386. Its totient is φ = 66220560.

The previous prime is 231772829. The next prime is 231772861. The reversal of 231772842 is 248277132.

It can be written as a sum of positive squares in only one way, i.e., 186896241 + 44876601 = 13671^2 + 6699^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231772797 and 231772806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130509 + ... + 132272.

Almost surely, 2231772842 is an apocalyptic number.

231772842 is an abundant number, since it is smaller than the sum of its proper divisors (352391544).

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

231772842 is a wasteful number, since it uses less digits than its factorization.

231772842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262803 (or 262793 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 231772842 is about 15224.0875588654. The cubic root of 231772842 is about 614.2627532843.

The spelling of 231772842 in words is "two hundred thirty-one million, seven hundred seventy-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 262781 525562 788343 1576686 1839467 2365029 3678934 4730058 5518401 11036802 12876269 16555203 25752538 33110406 38628807 77257614 115886421 231772842