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2313332320 = 255132938351
BaseRepresentation
bin1000100111100010…
…1010011001100000
312222012221110100211
42021320222121200
514214203113240
61021314423504
7111220000045
oct21170523140
95865843324
102313332320
11a878a78a2
12546891b94
132ab3626c0
1417d33d1cc
15d8156bea
hex89e2a660

2313332320 has 96 divisors (see below), whose sum is σ = 6088763520. Its totient is φ = 824678400.

The previous prime is 2313332317. The next prime is 2313332321. The reversal of 2313332320 is 232333132.

It is a junction number, because it is equal to n+sod(n) for n = 2313332291 and 2313332300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313332321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41145 + ... + 79495.

It is an arithmetic number, because the mean of its divisors is an integer number (63424620).

Almost surely, 22313332320 is an apocalyptic number.

2313332320 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 2313332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044381760).

2313332320 is an abundant number, since it is smaller than the sum of its proper divisors (3775431200).

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

2313332320 is a wasteful number, since it uses less digits than its factorization.

2313332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408 (or 38400 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 2313332320 is about 48097.1134268991. The cubic root of 2313332320 is about 1322.5517520066.

Adding to 2313332320 its reverse (232333132), we get a palindrome (2545665452).

The spelling of 2313332320 in words is "two billion, three hundred thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 38351 60320 76702 153404 191755 306808 383510 498563 613616 767020 997126 1112179 1227232 1534040 1994252 2224358 2492815 3068080 3988504 4448716 4985630 5560895 6136160 7977008 8897432 9971260 11121790 14458327 15954016 17794864 19942520 22243580 28916654 35589728 39885040 44487160 57833308 72291635 79770080 88974320 115666616 144583270 177948640 231333232 289166540 462666464 578333080 1156666160 2313332320