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232372480 = 285379479
BaseRepresentation
bin11011101100110…
…11100100000000
3121012020202010011
431312123210000
5433441404410
635020314304
75521063534
oct1566334400
9535222104
10232372480
1110a19397a
12659a2994
13391b0112
1422c0bbc4
151560118a
hexdd9b900

232372480 has 72 divisors (see below), whose sum is σ = 559238400. Its totient is φ = 92510208.

The previous prime is 232372477. The next prime is 232372513. The reversal of 232372480 is 84273232.

It is a super-2 number, since 2×2323724802 = 107993938922700800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484881 + ... + 485359.

It is an arithmetic number, because the mean of its divisors is an integer number (7767200).

Almost surely, 2232372480 is an apocalyptic number.

232372480 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 232372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279619200).

232372480 is an abundant number, since it is smaller than the sum of its proper divisors (326865920).

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

232372480 is an equidigital number, since it uses as much as digits as its factorization.

232372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 232372480 is about 15243.7685629243. The cubic root of 232372480 is about 614.7920331481.

The spelling of 232372480 in words is "two hundred thirty-two million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 379 479 640 758 958 1280 1516 1895 1916 2395 3032 3790 3832 4790 6064 7580 7664 9580 12128 15160 15328 19160 24256 30320 30656 38320 48512 60640 61312 76640 97024 121280 122624 153280 181541 242560 306560 363082 485120 613120 726164 907705 1452328 1815410 2904656 3630820 5809312 7261640 11618624 14523280 23237248 29046560 46474496 58093120 116186240 232372480