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2255097600 = 283252721747

2255097600 has 972 divisors, whose sum is σ = 10141788384. Its totient is φ = 474808320.

The previous prime is 2255097589. The next prime is 2255097661. The reversal of 2255097600 is 67905522.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47980777 + ... + 47980823.

Almost surely, 22255097600 is an apocalyptic number.

2255097600 is a gapful number since it is divisible by the number (20) 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 2255097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070894192).

2255097600 is an abundant number, since it is smaller than the sum of its proper divisors (7886690784).

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

2255097600 is a wasteful number, since it uses less digits than its factorization.

2255097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2255097600 is about 47487.8679243446. The cubic root of 2255097600 is about 1311.3595426543.

The spelling of 2255097600 in words is "two billion, two hundred fifty-five million, ninety-seven thousand, six hundred".