222141920 has 384 divisors, whose sum is σ = 751887360. Its totient is φ = 59719680.

The previous prime is 222141911. The next prime is 222141929. The reversal of 222141920 is 29141222.

It is an interprime number because it is at equal distance from previous prime (222141911) and next prime (222141929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222141929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3043004 + ... + 3043076.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 2^222141920 is an apocalyptic number.

222141920 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 222141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375943680).

222141920 is an abundant number, since it is smaller than the sum of its proper divisors (529745440).

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

222141920 is a wasteful number, since it uses less digits than its factorization.

222141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 222141920 is about 14904.4261882167. The cubic root of 222141920 is about 605.6338960766.

The spelling of 222141920 in words is "two hundred twenty-two million, one hundred forty-one thousand, nine hundred twenty".