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2255946336 = 25337373007
BaseRepresentation
bin1000011001110111…
…0000001001100000
312211012221221121000
42012131300021200
514110010240321
61011504432000
7106622141010
oct20635601140
95735857530
102255946336
11a58471966
1252b618600
1329c4bc4b7
14175881c40
15d30bd826
hex86770260

2255946336 has 96 divisors (see below), whose sum is σ = 7519841280. Its totient is φ = 644554368.

The previous prime is 2255946311. The next prime is 2255946383. The reversal of 2255946336 is 6336495522.

2255946336 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 9 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2255946291 and 2255946300.

It is a congruent number.

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, 180456 + ... + 192551.

It is an arithmetic number, because the mean of its divisors is an integer number (78331680).

Almost surely, 22255946336 is an apocalyptic number.

It is an amenable number.

2255946336 is an abundant number, since it is smaller than the sum of its proper divisors (5263894944).

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

2255946336 is a wasteful number, since it uses less digits than its factorization.

2255946336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373033 (or 373019 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 2255946336 is about 47496.8034292835. The cubic root of 2255946336 is about 1311.5240378926.

The spelling of 2255946336 in words is "two billion, two hundred fifty-five million, nine hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 373007 746014 1119021 1492028 2238042 2611049 2984056 3357063 4476084 5222098 5968112 6714126 7833147 8952168 10071189 10444196 11936224 13428252 15666294 17904336 20142378 20888392 23499441 26856504 31332588 35808672 40284756 41776784 46998882 53713008 62665176 70498323 80569512 83553568 93997764 107426016 125330352 140996646 161139024 187995528 250660704 281993292 322278048 375991056 563986584 751982112 1127973168 2255946336