Search a number
-
+
231749952 = 2637172433
BaseRepresentation
bin11011101000000…
…11100101000000
3121011002010011120
431310003211000
5433311444302
634555112240
75512561560
oct1564034500
9534063146
10231749952
111098a9195
1265742680
1339022965
1422ac8da0
151552b9bc
hexdd03940

231749952 has 56 divisors (see below), whose sum is σ = 700771776. Its totient is φ = 66213888.

The previous prime is 231749927. The next prime is 231749953. The reversal of 231749952 is 259947132.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231749953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84873 + ... + 87560.

Almost surely, 2231749952 is an apocalyptic number.

It is an amenable number.

231749952 is an abundant number, since it is smaller than the sum of its proper divisors (469021824).

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

231749952 is a wasteful number, since it uses less digits than its factorization.

231749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172455 (or 172445 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 231749952 is about 15223.3357711114. The cubic root of 231749952 is about 614.2425309879.

The spelling of 231749952 in words is "two hundred thirty-one million, seven hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 172433 344866 517299 689732 1034598 1207031 1379464 2069196 2414062 2758928 3621093 4138392 4828124 5517856 7242186 8276784 9656248 11035712 14484372 16553568 19312496 28968744 33107136 38624992 57937488 77249984 115874976 231749952