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231041024 = 211373049
BaseRepresentation
bin11011100010101…
…10100000000000
3121002202002200222
431301112200000
5433121303044
634532002212
75503546664
oct1561264000
9532662628
10231041024
111094645a5
1265460368
1338b35086
14229828a4
151543b8ee
hexdc56800

231041024 has 48 divisors (see below), whose sum is σ = 474610500. Its totient is φ = 112361472.

The previous prime is 231040973. The next prime is 231041059. The reversal of 231041024 is 420140132.

It can be written as a sum of positive squares in 2 ways, for example, as 231040000 + 1024 = 15200^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231040993 and 231041011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74252 + ... + 77300.

Almost surely, 2231041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237305250).

231041024 is an abundant number, since it is smaller than the sum of its proper divisors (243569476).

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

231041024 is an equidigital number, since it uses as much as digits as its factorization.

231041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 231041024 is about 15200.0336841732. The cubic root of 231041024 is about 613.6155642908.

Adding to 231041024 its reverse (420140132), we get a palindrome (651181156).

It can be divided in two parts, 23104 and 1024, that multiplied together give a square (23658496 = 48642).

The spelling of 231041024 in words is "two hundred thirty-one million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 3049 4736 6098 9472 12196 18944 24392 37888 48784 75776 97568 112813 195136 225626 390272 451252 780544 902504 1561088 1805008 3122176 3610016 6244352 7220032 14440064 28880128 57760256 115520512 231041024