222361104 has 160 divisors (see below), whose sum is σ = 703605760. Its totient is φ = 59097600.

The previous prime is 222361099. The next prime is 222361159. The reversal of 222361104 is 401163222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389139 + ... + 389709.

It is an arithmetic number, because the mean of its divisors is an integer number (4397536).

Almost surely, 2^222361104 is an apocalyptic number.

222361104 is a gapful number since it is divisible by the number (24) 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 222361104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351802880).

222361104 is an abundant number, since it is smaller than the sum of its proper divisors (481244656).

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

222361104 is a wasteful number, since it uses less digits than its factorization.

222361104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 222361104 is about 14911.7773588530. Note that the first 3 decimals coincide. The cubic root of 222361104 is about 605.8330204690.

The spelling of 222361104 in words is "two hundred twenty-two million, three hundred sixty-one thousand, one hundred four".