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232772540 = 2257211213151
BaseRepresentation
bin11011101111111…
…01001110111100
3121020000001220012
431313331032330
5434042210130
635033042352
75524351100
oct1567751674
9536001805
10232772540
1110a437500
1265b563b8
13392c0240
1422cb3900
151567e995
hexddfd3bc

232772540 has 216 divisors, whose sum is σ = 677559456. Its totient is φ = 66528000.

The previous prime is 232772537. The next prime is 232772563. The reversal of 232772540 is 45277232.

It is a junction number, because it is equal to n+sod(n) for n = 232772497 and 232772506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1541465 + ... + 1541615.

Almost surely, 2232772540 is an apocalyptic number.

232772540 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 232772540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338779728).

232772540 is an abundant number, since it is smaller than the sum of its proper divisors (444786916).

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

232772540 is a wasteful number, since it uses less digits than its factorization.

232772540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 232772540 is about 15256.8850031715. The cubic root of 232772540 is about 615.1446461718.

The spelling of 232772540 in words is "two hundred thirty-two million, seven hundred seventy-two thousand, five hundred forty".