225201620 has 24 divisors (see below), whose sum is σ = 540484224. Its totient is φ = 77211936.

The previous prime is 225201593. The next prime is 225201637. The reversal of 225201620 is 26102522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225201592 and 225201601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804152 + ... + 804431.

It is an arithmetic number, because the mean of its divisors is an integer number (22520176).

Almost surely, 2^225201620 is an apocalyptic number.

225201620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225201620 is an abundant number, since it is smaller than the sum of its proper divisors (315282604).

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

225201620 is a wasteful number, since it uses less digits than its factorization.

225201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608599 (or 1608597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225201620 is about 15006.7191617622. The cubic root of 225201620 is about 608.4018184402.

The spelling of 225201620 in words is "two hundred twenty-five million, two hundred one thousand, six hundred twenty".