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2256849216 = 2634435349
BaseRepresentation
bin1000011010000100…
…1100100101000000
312211021122211010000
42012201030211000
514110223133331
61011540040000
7106632621216
oct20641144500
95737584100
102256849216
11a58a29246
1252b993000
1329c74744b
14175a38cb6
15d31eb0e6
hex8684c940

2256849216 has 70 divisors (see below), whose sum is σ = 6690023450. Its totient is φ = 752281344.

The previous prime is 2256849193. The next prime is 2256849289. The reversal of 2256849216 is 6129486522.

2256849216 is a `hidden beast` number, since 22 + 568 + 49 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1456185600 + 800663616 = 38160^2 + 28296^2 .

It is a super-3 number, since 3×22568492163 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212491 + ... + 222858.

Almost surely, 22256849216 is an apocalyptic number.

It is an amenable number.

2256849216 is an abundant number, since it is smaller than the sum of its proper divisors (4433174234).

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

2256849216 is an equidigital number, since it uses as much as digits as its factorization.

2256849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435373 (or 435354 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2256849216 is about 47506.3071181080. The cubic root of 2256849216 is about 1311.6989816055.

The spelling of 2256849216 in words is "two billion, two hundred fifty-six million, eight hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 435349 870698 1306047 1741396 2612094 3482792 3918141 5224188 6965584 7836282 10448376 11754423 13931168 15672564 20896752 23508846 27862336 31345128 35263269 41793504 47017692 62690256 70526538 83587008 94035384 125380512 141053076 188070768 250761024 282106152 376141536 564212304 752283072 1128424608 2256849216