225919970640 has 800 divisors, whose sum is σ = 971870296320. Its totient is φ = 47645604864.

The previous prime is 225919970621. The next prime is 225919970669. The reversal of 225919970640 is 46079919522.

225919970640 is a `hidden beast` number, since 2 + 2 + 591 + 9 + 9 + 7 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99654787 + ... + 99657053.

Almost surely, 2^225919970640 is an apocalyptic number.

225919970640 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 225919970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485935148160).

225919970640 is an abundant number, since it is smaller than the sum of its proper divisors (745950325680).

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

225919970640 is a wasteful number, since it uses less digits than its factorization.

225919970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 225919970640 in words is "two hundred twenty-five billion, nine hundred nineteen million, nine hundred seventy thousand, six hundred forty".