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232842240 = 21032531163
BaseRepresentation
bin11011110000011…
…10010000000000
3121020010121111200
431320032100000
5434101422430
635034341200
75525061231
oct1570162000
9536117450
10232842240
1110a484904
1265b8a800
1339315b97
1422cd1088
1515695460
hexde0e400

232842240 has 264 divisors, whose sum is σ = 837927168. Its totient is φ = 59719680.

The previous prime is 232842229. The next prime is 232842241. The reversal of 232842240 is 42248232.

232842240 is a `hidden beast` number, since 232 + 8 + 422 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (232842241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428399 + ... + 1428561.

Almost surely, 2232842240 is an apocalyptic number.

232842240 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 232842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418963584).

232842240 is an abundant number, since it is smaller than the sum of its proper divisors (605084928).

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

232842240 is a wasteful number, since it uses less digits than its factorization.

232842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232842240 is about 15259.1690468387. The cubic root of 232842240 is about 615.2060384406.

The spelling of 232842240 in words is "two hundred thirty-two million, eight hundred forty-two thousand, two hundred forty".