Search a number
-
+
2256234696 = 2333171973119
BaseRepresentation
bin1000011001111011…
…0110100011001000
312211020111121011000
42012132312203020
514110044002241
61011514535000
7106624451502
oct20636664310
95736447130
102256234696
11a58649581
1252b737460
1329c590821
14175918d72
15d3128eb6
hex867b68c8

2256234696 has 128 divisors (see below), whose sum is σ = 6671808000. Its totient is φ = 704019456.

The previous prime is 2256234683. The next prime is 2256234697. The reversal of 2256234696 is 6964326522.

2256234696 is a `hidden beast` number, since 22 + 562 + 3 + 4 + 69 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2256234697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721825 + ... + 724943.

It is an arithmetic number, because the mean of its divisors is an integer number (52123500).

Almost surely, 22256234696 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 2256234696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335904000).

2256234696 is an abundant number, since it is smaller than the sum of its proper divisors (4415573304).

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

2256234696 is a wasteful number, since it uses less digits than its factorization.

2256234696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3338 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2256234696 is about 47499.8389049900. The cubic root of 2256234696 is about 1311.5799161365.

The spelling of 2256234696 in words is "two billion, two hundred fifty-six million, two hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 197 204 216 306 394 408 459 591 612 788 918 1182 1224 1576 1773 1836 2364 3119 3349 3546 3672 4728 5319 6238 6698 7092 9357 10047 10638 12476 13396 14184 18714 20094 21276 24952 26792 28071 30141 37428 40188 42552 53023 56142 60282 74856 80376 84213 90423 106046 112284 120564 159069 168426 180846 212092 224568 241128 318138 336852 361692 424184 477207 614443 636276 673704 723384 954414 1228886 1272552 1431621 1843329 1908828 2457772 2863242 3686658 3817656 4915544 5529987 5726484 7373316 10445531 11059974 11452968 14746632 16589961 20891062 22119948 31336593 33179922 41782124 44239896 62673186 66359844 83564248 94009779 125346372 132719688 188019558 250692744 282029337 376039116 564058674 752078232 1128117348 2256234696