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2256008832 = 273271129877
BaseRepresentation
bin1000011001110111…
…1111011010000000
312211020002010022200
42012131333122000
514110014240312
61011510033200
7106622521140
oct20635773200
95736063280
102256008832
11a58504910
1252b648800
1329c511a8c
1417589a920
15d30d20dc
hex8677f680

2256008832 has 384 divisors, whose sum is σ = 8382441600. Its totient is φ = 565125120.

The previous prime is 2256008819. The next prime is 2256008837. The reversal of 2256008832 is 2388006522.

2256008832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (2256008837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2571978 + ... + 2572854.

It is an arithmetic number, because the mean of its divisors is an integer number (21829275).

Almost surely, 22256008832 is an apocalyptic number.

2256008832 is a gapful number since it is divisible by the number (22) 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 2256008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191220800).

2256008832 is an abundant number, since it is smaller than the sum of its proper divisors (6126432768).

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

2256008832 is a wasteful number, since it uses less digits than its factorization.

2256008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2256008832 is about 47497.4613216328. The cubic root of 2256008832 is about 1311.5361487376.

It can be divided in two parts, 225600 and 8832, that added together give a palindrome (234432).

The spelling of 2256008832 in words is "two billion, two hundred fifty-six million, eight thousand, eight hundred thirty-two".