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2256316524 = 223272113312
BaseRepresentation
bin1000011001111100…
…1010100001101100
312211020122202101200
42012133022201230
514110104112044
61011520405500
7106625242200
oct20637124154
95736582350
102256316524
11a586a5000
1252b776890
1329c5bbb47
1417593ab00
15d3143369
hex867ca86c

2256316524 has 324 divisors, whose sum is σ = 7540611624. Its totient is φ = 567151200.

The previous prime is 2256316523. The next prime is 2256316547. The reversal of 2256316524 is 4256136522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (2256316523) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72784389 + ... + 72784419.

Almost surely, 22256316524 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 2256316524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770305812).

2256316524 is an abundant number, since it is smaller than the sum of its proper divisors (5284295100).

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

2256316524 is a wasteful number, since it uses less digits than its factorization.

2256316524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2256316524 is about 47500.7002474700. The cubic root of 2256316524 is about 1311.5957718546.

The spelling of 2256316524 in words is "two billion, two hundred fifty-six million, three hundred sixteen thousand, five hundred twenty-four".