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2260117496 = 23713173143137
BaseRepresentation
bin1000011010110110…
…1010011111111000
312211111210212100102
42012231222133320
514112042224441
61012134054532
7110002452560
oct20655523770
95744725312
102260117496
11a5a8607aa
12530aaa448
132a031cc40
14176249da0
15d364469b
hex86b6a7f8

2260117496 has 256 divisors, whose sum is σ = 5875752960. Its totient is φ = 789626880.

The previous prime is 2260117493. The next prime is 2260117537. The reversal of 2260117496 is 6947110622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260117493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16497140 + ... + 16497276.

It is an arithmetic number, because the mean of its divisors is an integer number (22952160).

Almost surely, 22260117496 is an apocalyptic number.

2260117496 is a gapful number since it is divisible by the number (26) 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 2260117496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937876480).

2260117496 is an abundant number, since it is smaller than the sum of its proper divisors (3615635464).

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

2260117496 is a wasteful number, since it uses less digits than its factorization.

2260117496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2260117496 is about 47540.6930534253. The cubic root of 2260117496 is about 1312.3318597732.

The spelling of 2260117496 in words is "two billion, two hundred sixty million, one hundred seventeen thousand, four hundred ninety-six".