152218200 has 96 divisors (see below), whose sum is σ = 476487360. Its totient is φ = 40195200.

The previous prime is 152218193. The next prime is 152218207. The reversal of 152218200 is 2812251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152218193) and next prime (152218207).

It is a super-2 number, since 2×152218200² = 46340760822480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152218207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63015 + ... + 65385.

It is an arithmetic number, because the mean of its divisors is an integer number (4963410).

Almost surely, 2^152218200 is an apocalyptic number.

152218200 is a gapful number since it is divisible by the number (10) 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 152218200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238243680).

152218200 is an abundant number, since it is smaller than the sum of its proper divisors (324269160).

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

152218200 is a wasteful number, since it uses less digits than its factorization.

152218200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 152218200 is about 12337.6740109309. The cubic root of 152218200 is about 533.9355783638.

The spelling of 152218200 in words is "one hundred fifty-two million, two hundred eighteen thousand, two hundred".