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2293256448 = 2834723761
BaseRepresentation
bin1000100010110000…
…0101000100000000
312220211011111110000
42020230011010000
514144033201243
61015320240000
7110554233600
oct21054050400
95824144400
102293256448
11a7753556a
12540010000
132a71538a2
1417a7d4c00
15d64dd5d3
hex88b05100

2293256448 has 540 divisors, whose sum is σ = 8303408652. Its totient is φ = 627056640.

The previous prime is 2293256437. The next prime is 2293256491. The reversal of 2293256448 is 8446523922.

2293256448 is a `hidden beast` number, since 229 + 325 + 64 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 1316818944 = 31248^2 + 36288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37594338 + ... + 37594398.

Almost surely, 22293256448 is an apocalyptic number.

2293256448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151704326).

2293256448 is an abundant number, since it is smaller than the sum of its proper divisors (6010152204).

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

2293256448 is an equidigital number, since it uses as much as digits as its factorization.

2293256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2293256448 is about 47887.9572335258. The cubic root of 2293256448 is about 1318.7147821117.

The spelling of 2293256448 in words is "two billion, two hundred ninety-three million, two hundred fifty-six thousand, four hundred forty-eight".