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2256049692 = 22331337137317
BaseRepresentation
bin1000011001111000…
…1001011000011100
312211020011012101000
42012132021120130
514110022042232
61011510550300
7106623051231
oct20636113034
95736135330
102256049692
11a58532586
1252b668390
1329c527560
141758ab788
15d30de27c
hex8678961c

2256049692 has 192 divisors, whose sum is σ = 6536960640. Its totient is φ = 668362752.

The previous prime is 2256049687. The next prime is 2256049793. The reversal of 2256049692 is 2969406522.

2256049692 is a `hidden beast` number, since 22 + 56 + 0 + 496 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7116718 + ... + 7117034.

It is an arithmetic number, because the mean of its divisors is an integer number (34046670).

Almost surely, 22256049692 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 2256049692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268480320).

2256049692 is an abundant number, since it is smaller than the sum of its proper divisors (4280910948).

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

2256049692 is a wasteful number, since it uses less digits than its factorization.

2256049692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2256049692 is about 47497.8914479369. The cubic root of 2256049692 is about 1311.5440667095.

The spelling of 2256049692 in words is "two billion, two hundred fifty-six million, forty-nine thousand, six hundred ninety-two".