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232104320 = 2757103503
BaseRepresentation
bin11011101010110…
…10000110000000
3121011202010021022
431311122012000
5433404314240
635010445012
75515565660
oct1565320600
9534663238
10232104320
1110a020458
1265893768
1339118046
1422b7c1a0
151559b9b5
hexdd5a180

232104320 has 128 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 78649344.

The previous prime is 232104319. The next prime is 232104337. The reversal of 232104320 is 23401232.

232104320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461189 + ... + 461691.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2232104320 is an apocalyptic number.

232104320 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 232104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

232104320 is an abundant number, since it is smaller than the sum of its proper divisors (409467520).

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

232104320 is a wasteful number, since it uses less digits than its factorization.

232104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232104320 is about 15234.9702986255. The cubic root of 232104320 is about 614.5554502132. Note that the first 3 decimals are identical.

Adding to 232104320 its reverse (23401232), we get a palindrome (255505552).

The spelling of 232104320 in words is "two hundred thirty-two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 128 140 160 206 224 280 320 412 448 503 515 560 640 721 824 896 1006 1030 1120 1442 1648 2012 2060 2240 2515 2884 3296 3521 3605 4024 4120 4480 5030 5768 6592 7042 7210 8048 8240 10060 11536 13184 14084 14420 16096 16480 17605 20120 23072 28168 28840 32192 32960 35210 40240 46144 51809 56336 57680 64384 65920 70420 80480 92288 103618 112672 115360 140840 160960 207236 225344 230720 259045 281680 321920 362663 414472 450688 461440 518090 563360 725326 828944 1036180 1126720 1450652 1657888 1813315 2072360 2253440 2901304 3315776 3626630 4144720 5802608 6631552 7253260 8289440 11605216 14506520 16578880 23210432 29013040 33157760 46420864 58026080 116052160 232104320