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2296272768 = 27322926113
BaseRepresentation
bin1000100011011110…
…0101011110000000
312221000211202001120
42020313211132000
514200321212033
61015505032240
7110621665536
oct21067453600
95830752046
102296272768
11a79205799
12541025680
132a796b7aa
1417ad7c156
15d68d71b3
hex88de5780

2296272768 has 64 divisors (see below), whose sum is σ = 6126344400. Its totient is φ = 762052608.

The previous prime is 2296272767. The next prime is 2296272793. The reversal of 2296272768 is 8672726922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2296272768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296272763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74880 + ... + 100992.

Almost surely, 22296272768 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 2296272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063172200).

2296272768 is an abundant number, since it is smaller than the sum of its proper divisors (3830071632).

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

2296272768 is a wasteful number, since it uses less digits than its factorization.

2296272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26359 (or 26347 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 2296272768 is about 47919.4403974003. The cubic root of 2296272768 is about 1319.2926972866.

The spelling of 2296272768 in words is "two billion, two hundred ninety-six million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1374 1832 2748 3664 5496 7328 10992 14656 21984 26113 29312 43968 52226 78339 87936 104452 156678 208904 313356 417808 626712 835616 1253424 1671232 2506848 3342464 5013696 5979877 10027392 11959754 17939631 23919508 35879262 47839016 71758524 95678032 143517048 191356064 287034096 382712128 574068192 765424256 1148136384 2296272768