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232113020320 = 25515118795113
BaseRepresentation
bin1101100000101100000…
…0111001110110100000
3211012010100121010211101
43120023000321312200
512300331413122240
6254344203324144
722524656055646
oct3301300716640
9735110533741
10232113020320
118a490826715
1238b9a220654
1318b713b064c
14b33d005196
15608783839a
hex360b039da0

232113020320 has 96 divisors (see below), whose sum is σ = 552400369920. Its totient is φ = 92163225600.

The previous prime is 232113020311. The next prime is 232113020323. The reversal of 232113020320 is 23020311232.

It is not an unprimeable number, because it can be changed into a prime (232113020323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45394084 + ... + 45399196.

It is an arithmetic number, because the mean of its divisors is an integer number (5754170520).

Almost surely, 2232113020320 is an apocalyptic number.

232113020320 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 232113020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276200184960).

232113020320 is an abundant number, since it is smaller than the sum of its proper divisors (320287349600).

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

232113020320 is a wasteful number, since it uses less digits than its factorization.

232113020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 232113020320 its reverse (23020311232), we get a palindrome (255133331552).

The spelling of 232113020320 in words is "two hundred thirty-two billion, one hundred thirteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 1879 2416 3020 3758 4832 5113 6040 7516 9395 10226 12080 15032 18790 20452 24160 25565 30064 37580 40904 51130 60128 75160 81808 102260 150320 163616 204520 283729 300640 409040 567458 772063 818080 1134916 1418645 1544126 2269832 2837290 3088252 3860315 4539664 5674580 6176504 7720630 9079328 9607327 11349160 12353008 15441260 19214654 22698320 24706016 30882520 38429308 45396640 48036635 61765040 76858616 96073270 123530080 153717232 192146540 307434464 384293080 768586160 1450706377 1537172320 2901412754 5802825508 7253531885 11605651016 14507063770 23211302032 29014127540 46422604064 58028255080 116056510160 232113020320