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2259397056 = 263723161127
BaseRepresentation
bin1000011010101011…
…1010100111000000
312211110110021002110
42012222322213000
514111401201211
61012110415320
7106663362300
oct20652724700
95743407073
102259397056
11a5a4094a4
12530801540
132a012a047
141760dd600
15d3550ea6
hex86aba9c0

2259397056 has 336 divisors, whose sum is σ = 7353434112. Its totient is φ = 609638400.

The previous prime is 2259397037. The next prime is 2259397061. The reversal of 2259397056 is 6507939522.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×22593970562 = 10209750113322934272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2259396996 and 2259397014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17790465 + ... + 17790591.

Almost surely, 22259397056 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 2259397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676717056).

2259397056 is an abundant number, since it is smaller than the sum of its proper divisors (5094037056).

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

2259397056 is a wasteful number, since it uses less digits than its factorization.

2259397056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 2259397056 is about 47533.1153618191. The cubic root of 2259397056 is about 1312.1924043624.

The spelling of 2259397056 in words is "two billion, two hundred fifty-nine million, three hundred ninety-seven thousand, fifty-six".