222513000 has 128 divisors (see below), whose sum is σ = 735246720. Its totient is φ = 55833600.

The previous prime is 222512989. The next prime is 222513001. The reversal of 222513000 is 315222.

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

It is not an unprimeable number, because it can be changed into a prime (222513001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48819 + ... + 53181.

It is an arithmetic number, because the mean of its divisors is an integer number (5744115).

Almost surely, 2^222513000 is an apocalyptic number.

222513000 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 222513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367623360).

222513000 is an abundant number, since it is smaller than the sum of its proper divisors (512733720).

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

222513000 is a wasteful number, since it uses less digits than its factorization.

222513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 222513000 is about 14916.8696448015. The cubic root of 222513000 is about 605.9709382745.

Adding to 222513000 its reverse (315222), we get a palindrome (222828222).

It can be divided in two parts, 2225 and 13000, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 222513000 in words is "two hundred twenty-two million, five hundred thirteen thousand".