226625040 has 200 divisors, whose sum is σ = 807245208. Its totient is φ = 58890240.

The previous prime is 226625033. The next prime is 226625051. The reversal of 226625040 is 40526622.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 214681104 = 3456^2 + 14652^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 226624995 and 226625013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265254 + ... + 266106.

Almost surely, 2^226625040 is an apocalyptic number.

226625040 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 226625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403622604).

226625040 is an abundant number, since it is smaller than the sum of its proper divisors (580620168).

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

226625040 is a wasteful number, since it uses less digits than its factorization.

226625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226625040 is about 15054.0705458690. The cubic root of 226625040 is about 609.6809583097.

The spelling of 226625040 in words is "two hundred twenty-six million, six hundred twenty-five thousand, forty".