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2239503552 = 263511131953
BaseRepresentation
bin1000010101111100…
…0001110011000000
312210002000120100000
42011133001303000
514041303103202
61010120200000
7106332315606
oct20537016300
95702016300
102239503552
11a4a161190
12526009000
13298c83240
14173601876
15d192191c
hex857c1cc0

2239503552 has 672 divisors, whose sum is σ = 8387608320. Its totient is φ = 582266880.

The previous prime is 2239503521. The next prime is 2239503589. The reversal of 2239503552 is 2553059322.

2239503552 is a `hidden beast` number, since 22 + 39 + 50 + 3 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42254758 + ... + 42254810.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 22239503552 is an apocalyptic number.

2239503552 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 2239503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193804160).

2239503552 is an abundant number, since it is smaller than the sum of its proper divisors (6148104768).

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

2239503552 is a wasteful number, since it uses less digits than its factorization.

2239503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 2239503552 is about 47323.3932849283. The cubic root of 2239503552 is about 1308.3298553665.

The spelling of 2239503552 in words is "two billion, two hundred thirty-nine million, five hundred three thousand, five hundred fifty-two".