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2256150528 = 2133271431
BaseRepresentation
bin1000011001111010…
…0010000000000000
312211020100022200200
42012132202000000
514110033304103
61011513045200
7106623651222
oct20636420000
95736308620
102256150528
11a585a1315
1252b6b6800
1329c561418
141758d6412
15d310e0a3
hex867a2000

2256150528 has 168 divisors, whose sum is σ = 6624498816. Its totient is φ = 739737600.

The previous prime is 2256150511. The next prime is 2256150551. The reversal of 2256150528 is 8250516522.

It is a happy number.

2256150528 is a `hidden beast` number, since 2 + 25 + 61 + 50 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2256150492 and 2256150501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5234473 + ... + 5234903.

Almost surely, 22256150528 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 2256150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312249408).

2256150528 is an abundant number, since it is smaller than the sum of its proper divisors (4368348288).

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

2256150528 is an equidigital number, since it uses as much as digits as its factorization.

2256150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2256150528 is about 47498.9529147749. The cubic root of 2256150528 is about 1311.5636065993.

The spelling of 2256150528 in words is "two billion, two hundred fifty-six million, one hundred fifty thousand, five hundred twenty-eight".