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2331356256 = 25344012243
BaseRepresentation
bin1000101011110101…
…1010110001100000
320000110212011120000
42022331122301200
514233311400011
61023201020000
7111526126005
oct21275326140
96013764500
102331356256
11a96a98509
12550924600
132b2003558
141818b18ac
15d9a17356
hex8af5ac60

2331356256 has 120 divisors (see below), whose sum is σ = 6876616824. Its totient is φ = 774835200.

The previous prime is 2331356249. The next prime is 2331356257. The reversal of 2331356256 is 6526531332.

2331356256 is a `hidden beast` number, since 2 + 33 + 13 + 562 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2331356256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331356257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1038271 + ... + 1040513.

Almost surely, 22331356256 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 2331356256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438308412).

2331356256 is an abundant number, since it is smaller than the sum of its proper divisors (4545260568).

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

2331356256 is a wasteful number, since it uses less digits than its factorization.

2331356256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2649 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 2331356256 is about 48284.1201224585. The cubic root of 2331356256 is about 1325.9776823090.

Adding to 2331356256 its reverse (6526531332), we get a palindrome (8857887588).

The spelling of 2331356256 in words is "two billion, three hundred thirty-one million, three hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 401 432 648 802 864 1203 1296 1604 2243 2406 2592 3208 3609 4486 4812 6416 6729 7218 8972 9624 10827 12832 13458 14436 17944 19248 20187 21654 26916 28872 32481 35888 38496 40374 43308 53832 57744 60561 64962 71776 80748 86616 107664 115488 121122 129924 161496 173232 181683 215328 242244 259848 322992 346464 363366 484488 519696 645984 726732 899443 968976 1039392 1453464 1798886 1937952 2698329 2906928 3597772 5396658 5813856 7195544 8094987 10793316 14391088 16189974 21586632 24284961 28782176 32379948 43173264 48569922 64759896 72854883 86346528 97139844 129519792 145709766 194279688 259039584 291419532 388559376 582839064 777118752 1165678128 2331356256