222735000 has 160 divisors (see below), whose sum is σ = 719769600. Its totient is φ = 57360000.

The previous prime is 222734987. The next prime is 222735041. The reversal of 222735000 is 537222.

222735000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222735000² = 99221760450000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464761 + ... + 465239.

It is an arithmetic number, because the mean of its divisors is an integer number (4498560).

Almost surely, 2^222735000 is an apocalyptic number.

222735000 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 222735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359884800).

222735000 is an abundant number, since it is smaller than the sum of its proper divisors (497034600).

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

222735000 is a wasteful number, since it uses less digits than its factorization.

222735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 222735000 is about 14924.3090292315. The cubic root of 222735000 is about 606.1723959191.

The spelling of 222735000 in words is "two hundred twenty-two million, seven hundred thirty-five thousand".