227220400 has 120 divisors (see below), whose sum is σ = 602108784. Its totient is φ = 81715200.

The previous prime is 227220397. The next prime is 227220443. The reversal of 227220400 is 4022722.

227220400 = 2608² + 2609² + ... + 2640².

227220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×227220400² = 103258220352320000, which contains 22 as substring.

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, 496972 + ... + 497428.

Almost surely, 2^227220400 is an apocalyptic number.

227220400 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 227220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301054392).

227220400 is an abundant number, since it is smaller than the sum of its proper divisors (374888384).

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

227220400 is a wasteful number, since it uses less digits than its factorization.

227220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 227220400 is about 15073.8316296820. The cubic root of 227220400 is about 610.2143831256.

The spelling of 227220400 in words is "two hundred twenty-seven million, two hundred twenty thousand, four hundred".