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232250040 = 2332511223263
BaseRepresentation
bin11011101011111…
…01101010111000
3121012000112011100
431311331222320
5433424000130
635013531400
75520043551
oct1565755270
9535015140
10232250040
1110a10a990
1265943b60
1339169479
1422bb9328
15155c9c60
hexdd7dab8

232250040 has 192 divisors, whose sum is σ = 830269440. Its totient is φ = 55837440.

The previous prime is 232250033. The next prime is 232250087. The reversal of 232250040 is 40052232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232249995 and 232250022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882949 + ... + 883211.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2232250040 is an apocalyptic number.

232250040 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 232250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

232250040 is an abundant number, since it is smaller than the sum of its proper divisors (598019400).

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

232250040 is a wasteful number, since it uses less digits than its factorization.

232250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 232250040 is about 15239.7519664855. The cubic root of 232250040 is about 614.6840336100.

The spelling of 232250040 in words is "two hundred thirty-two million, two hundred fifty thousand, forty".