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232757980 = 2257131953127
BaseRepresentation
bin11011101111110…
…01101011011100
3121012222022220221
431313321223130
5434041223410
635032451124
75524260460
oct1567715334
9535868827
10232757980
1110a427574
1265b49aa4
13392b6720
1422cac4a0
151567a4da
hexddf9adc

232757980 has 192 divisors, whose sum is σ = 650280960. Its totient is φ = 67931136.

The previous prime is 232757977. The next prime is 232757981. The reversal of 232757980 is 89757232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232757981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1832677 + ... + 1832803.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2232757980 is an apocalyptic number.

232757980 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 232757980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

232757980 is an abundant number, since it is smaller than the sum of its proper divisors (417522980).

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

232757980 is a wasteful number, since it uses less digits than its factorization.

232757980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 232757980 is about 15256.4078340873. The cubic root of 232757980 is about 615.1318200701.

The spelling of 232757980 in words is "two hundred thirty-two million, seven hundred fifty-seven thousand, nine hundred eighty".