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2256351156 = 2232199073637
BaseRepresentation
bin1000011001111101…
…0010111110110100
312211020201111220100
42012133102332310
514110111214111
61011521234100
7106625445153
oct20637227664
95736644810
102256351156
11a58719024
1252b792930
1329c601837
1417594959a
15d314d756
hex867d2fb4

2256351156 has 72 divisors (see below), whose sum is σ = 6012013280. Its totient is φ = 711550656.

The previous prime is 2256351113. The next prime is 2256351157. The reversal of 2256351156 is 6511536522.

2256351156 is a `hidden beast` number, since 2 + 2 + 5 + 635 + 1 + 15 + 6 = 666.

It is a super-2 number, since 2×22563511562 = 10182241078365072672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2256351156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256351157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618570 + ... + 622206.

Almost surely, 22256351156 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 2256351156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006006640).

2256351156 is an abundant number, since it is smaller than the sum of its proper divisors (3755662124).

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

2256351156 is a wasteful number, since it uses less digits than its factorization.

2256351156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4568 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2256351156 is about 47501.0647880655. The cubic root of 2256351156 is about 1311.6024823423.

Adding to 2256351156 its reverse (6511536522), we get a palindrome (8767887678).

The spelling of 2256351156 in words is "two billion, two hundred fifty-six million, three hundred fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 907 1814 2721 3628 3637 5442 7274 8163 10884 10911 14548 16326 17233 21822 32652 32733 34466 43644 51699 65466 68932 69103 103398 130932 138206 155097 206796 207309 276412 310194 414618 620388 621927 829236 1243854 2487708 3298759 6597518 9896277 13195036 19792554 29688831 39585108 59377662 62676421 118755324 125352842 188029263 250705684 376058526 564087789 752117052 1128175578 2256351156