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233125240 = 235231391823
BaseRepresentation
bin11011110010100…
…11010101111000
3121020122222201011
431321103111320
5434140001430
635044403304
75530350265
oct1571232570
9536588634
10233125240
1110a658497
12660a6534
13393b493a
1422d6626c
15156ee22a
hexde53578

233125240 has 64 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 88505472.

The previous prime is 233125237. The next prime is 233125247. The reversal of 233125240 is 42521332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233125247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126969 + ... + 128791.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2233125240 is an apocalyptic number.

233125240 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 233125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

233125240 is an abundant number, since it is smaller than the sum of its proper divisors (318452360).

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

233125240 is a wasteful number, since it uses less digits than its factorization.

233125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 233125240 is about 15268.4393439539. The cubic root of 233125240 is about 615.4551811227.

Adding to 233125240 its reverse (42521332), we get a palindrome (275646572).

The spelling of 233125240 in words is "two hundred thirty-three million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 278 460 556 695 920 1112 1390 1823 2780 3197 3646 5560 6394 7292 9115 12788 14584 15985 18230 25576 31970 36460 41929 63940 72920 83858 127880 167716 209645 253397 335432 419290 506794 838580 1013588 1266985 1677160 2027176 2533970 5067940 5828131 10135880 11656262 23312524 29140655 46625048 58281310 116562620 233125240