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2257025472 = 263413107313
BaseRepresentation
bin1000011010000111…
…0111100111000000
312211021222202220000
42012201313213000
514110244303342
61011543520000
7106634254122
oct20641674700
95737882800
102257025472
11a59039709
1252ba59000
1329c7a9740
14175a83212
15d323344c
hex868779c0

2257025472 has 280 divisors, whose sum is σ = 7295759856. Its totient is φ = 685780992.

The previous prime is 2257025453. The next prime is 2257025473. The reversal of 2257025472 is 2745207522.

2257025472 is a `hidden beast` number, since 22 + 570 + 25 + 47 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257025473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7210788 + ... + 7211100.

Almost surely, 22257025472 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 2257025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647879928).

2257025472 is an abundant number, since it is smaller than the sum of its proper divisors (5038734384).

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

2257025472 is a wasteful number, since it uses less digits than its factorization.

2257025472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2257025472 is about 47508.1621618854. The cubic root of 2257025472 is about 1311.7331278532.

The spelling of 2257025472 in words is "two billion, two hundred fifty-seven million, twenty-five thousand, four hundred seventy-two".