222151200 has 144 divisors (see below), whose sum is σ = 729078336. Its totient is φ = 58752000.

The previous prime is 222151183. The next prime is 222151231. The reversal of 222151200 is 2151222.

It is a super-2 number, since 2×222151200² = 98702311322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222151200.

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, 362094 + ... + 362706.

It is an arithmetic number, because the mean of its divisors is an integer number (5063044).

Almost surely, 2^222151200 is an apocalyptic number.

222151200 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 222151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364539168).

222151200 is an abundant number, since it is smaller than the sum of its proper divisors (506927136).

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

222151200 is a wasteful number, since it uses less digits than its factorization.

222151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 222151200 is about 14904.7375018817. The cubic root of 222151200 is about 605.6423294305.

The spelling of 222151200 in words is "two hundred twenty-two million, one hundred fifty-one thousand, two hundred".