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25221452256 = 25327111389983
BaseRepresentation
bin10111011111010100…
…001101000111100000
32102002201121112012100
4113133110031013200
5403123142433011
615330411130400
71552003543530
oct273724150740
972081545170
1025221452256
11a772941420
124a7a743a00
1324bc391c60
1413139514c0
159c9367d56
hex5df50d1e0

25221452256 has 576 divisors, whose sum is σ = 97481180160. Its totient is φ = 5973073920.

The previous prime is 25221452251. The next prime is 25221452273. The reversal of 25221452256 is 65225412252.

It is a super-2 number, since 2×252214522562 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25221452256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25221452251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25657141 + ... + 25658123.

It is an arithmetic number, because the mean of its divisors is an integer number (169238160).

Almost surely, 225221452256 is an apocalyptic number.

25221452256 is a gapful number since it is divisible by the number (26) 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 25221452256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48740590080).

25221452256 is an abundant number, since it is smaller than the sum of its proper divisors (72259727904).

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

25221452256 is a wasteful number, since it uses less digits than its factorization.

25221452256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 25221452256 in words is "twenty-five billion, two hundred twenty-one million, four hundred fifty-two thousand, two hundred fifty-six".