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2323884992 = 261113318191
BaseRepresentation
bin1000101010000011…
…1010101111000000
312222221210120220112
42022200322233000
514224403304432
61022332530452
7111405460622
oct21240725700
95887716815
102323884992
11a92855210
1254a320a28
132b05b89a0
141808c8c12
15d903d7b2
hex8a83abc0

2323884992 has 112 divisors (see below), whose sum is σ = 5593104384. Its totient is φ = 943488000.

The previous prime is 2323884977. The next prime is 2323885009. The reversal of 2323884992 is 2994883232.

It is a self number, because there is not a number n which added to its sum of digits gives 2323884992.

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 15 ways as a sum of consecutive naturals, for example, 279617 + ... + 287807.

It is an arithmetic number, because the mean of its divisors is an integer number (49938432).

Almost surely, 22323884992 is an apocalyptic number.

2323884992 is a gapful number since it is divisible by the number (22) 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 2323884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796552192).

2323884992 is an abundant number, since it is smaller than the sum of its proper divisors (3269219392).

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

2323884992 is a wasteful number, since it uses less digits than its factorization.

2323884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8248 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 2323884992 is about 48206.6903240619. The cubic root of 2323884992 is about 1324.5597192914.

The spelling of 2323884992 in words is "two billion, three hundred twenty-three million, eight hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 176 208 248 286 341 352 403 416 496 572 682 704 806 832 992 1144 1364 1612 1984 2288 2728 3224 4433 4576 5456 6448 8191 8866 9152 10912 12896 16382 17732 21824 25792 32764 35464 65528 70928 90101 106483 131056 141856 180202 212966 253921 262112 283712 360404 425932 507842 524224 720808 851864 1015684 1171313 1441616 1703728 2031368 2342626 2793131 2883232 3300973 3407456 4062736 4685252 5586262 5766464 6601946 6814912 8125472 9370504 11172524 13203892 16250944 18741008 22345048 26407784 36310703 37482016 44690096 52815568 72621406 74964032 89380192 105631136 145242812 178760384 211262272 290485624 580971248 1161942496 2323884992