Search a number
-
+
2331731136 = 26377921961
BaseRepresentation
bin1000101011111011…
…0110010011000000
320000111120012210110
42022332312103000
514233410344021
61023213031320
7111532246650
oct21276662300
96014505713
102331731136
11a97224129
12550a85540
132b2105087
1418196c360
15d9a8d476
hex8afb64c0

2331731136 has 112 divisors (see below), whose sum is σ = 7140285440. Its totient is φ = 657745920.

The previous prime is 2331731117. The next prime is 2331731141. The reversal of 2331731136 is 6311371332.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

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, 95196 + ... + 117156.

Almost surely, 22331731136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570142720).

2331731136 is an abundant number, since it is smaller than the sum of its proper divisors (4808554304).

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

2331731136 is a wasteful number, since it uses less digits than its factorization.

2331731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22062 (or 22052 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 2331731136 is about 48288.0019880715. The cubic root of 2331731136 is about 1326.0487505082.

The spelling of 2331731136 in words is "two billion, three hundred thirty-one million, seven hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 13272 15168 17696 21961 26544 35392 43922 53088 65883 87844 106176 131766 153727 175688 263532 307454 351376 461181 527064 614908 702752 922362 1054128 1229816 1405504 1734919 1844724 2108256 2459632 3469838 3689448 4216512 4919264 5204757 6939676 7378896 9838528 10409514 12144433 13879352 14757792 20819028 24288866 27758704 29515584 36433299 41638056 48577732 55517408 72866598 83276112 97155464 111034816 145733196 166552224 194310928 291466392 333104448 388621856 582932784 777243712 1165865568 2331731136