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2256200256331 = 72947631374761
BaseRepresentation
bin100000110101010000000…
…000111100101101001011
321222200122110211100210201
4200311100000330231023
5243431144231200311
64444252321353031
7322001513515630
oct40652000745513
97880573740721
102256200256331
1179a93825341a
12305324a98777
131349b3035b98
147b2b491c187
153da502d99c1
hex20d5003cb4b

2256200256331 has 32 divisors (see below), whose sum is σ = 2728507207680. Its totient is φ = 1824571526400.

The previous prime is 2256200256319. The next prime is 2256200256353. The reversal of 2256200256331 is 1336520026522.

It is not a de Polignac number, because 2256200256331 - 211 = 2256200254283 is a prime.

It is a super-2 number, since 2×22562002563312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256200256311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5832991 + ... + 6207751.

It is an arithmetic number, because the mean of its divisors is an integer number (85265850240).

Almost surely, 22256200256331 is an apocalyptic number.

2256200256331 is a deficient number, since it is larger than the sum of its proper divisors (472306951349).

2256200256331 is a wasteful number, since it uses less digits than its factorization.

2256200256331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375475.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2256200256331 in words is "two trillion, two hundred fifty-six billion, two hundred million, two hundred fifty-six thousand, three hundred thirty-one".

Divisors: 1 7 29 47 203 329 631 1363 4417 9541 18299 29657 128093 207599 374761 860053 2623327 6020371 10868069 17613767 76076483 123296369 236474191 510799243 1655319337 3575594701 6857751539 11114286977 48004260773 77800008839 322314322333 2256200256331