226610820 has 72 divisors (see below), whose sum is σ = 688647960. Its totient is φ = 60318720.

The previous prime is 226610819. The next prime is 226610831. The reversal of 226610820 is 28016622.

226610820 is a `hidden beast` number, since 2 + 26 + 610 + 8 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 223562304 = 1746^2 + 14952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157866 + ... + 159294.

It is an arithmetic number, because the mean of its divisors is an integer number (9564555).

Almost surely, 2^226610820 is an apocalyptic number.

226610820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226610820 is an abundant number, since it is smaller than the sum of its proper divisors (462037140).

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

226610820 is a wasteful number, since it uses less digits than its factorization.

226610820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 226610820 is about 15053.5982409522. The cubic root of 226610820 is about 609.6682061964.

The spelling of 226610820 in words is "two hundred twenty-six million, six hundred ten thousand, eight hundred twenty".