2272428900 has 243 divisors, whose sum is σ = 8322370329. Its totient is φ = 517124160.

The previous prime is 2272428887. The next prime is 2272428931. The reversal of 2272428900 is 98242722.

It is a happy number.

The square root of 2272428900 is 47670.

It is a perfect power (a square), and thus also a powerful number.

2272428900 is a `hidden beast` number, since 227 + 2 + 428 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 818074404 + 1454354496 = 28602^2 + 38136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10010587 + ... + 10010813.

Almost surely, 2^2272428900 is an apocalyptic number.

2272428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2272428900 is the 47670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272428900

2272428900 is an abundant number, since it is smaller than the sum of its proper divisors (6049941429).

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

2272428900 is a wasteful number, since it uses less digits than its factorization.

2272428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 2272428900 is about 1314.7104086482.

Multiplying 2272428900 by its sum of digits (36), we get a square (81807440400 = 286020²).

2272428900 divided by its sum of digits (36) gives a square (63123025 = 7945²).

The spelling of 2272428900 in words is "two billion, two hundred seventy-two million, four hundred twenty-eight thousand, nine hundred".