30219168 has 96 divisors (see below), whose sum is σ = 91518336. Its totient is φ = 8552448.

The previous prime is 30219157. The next prime is 30219179. The reversal of 30219168 is 86191203.

It is an interprime number because it is at equal distance from previous prime (30219157) and next prime (30219179).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30219168² = 1826396229224448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129580 + ... + 129812.

It is an arithmetic number, because the mean of its divisors is an integer number (953316).

Almost surely, 2^30219168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45759168).

30219168 is an abundant number, since it is smaller than the sum of its proper divisors (61299168).

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

30219168 is a wasteful number, since it uses less digits than its factorization.

30219168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 30219168 is about 5497.1963763358. The cubic root of 30219168 is about 311.4780886470.

The spelling of 30219168 in words is "thirty million, two hundred nineteen thousand, one hundred sixty-eight".