220146313200 has 120 divisors (see below), whose sum is σ = 769311344256. Its totient is φ = 53368800000.

The previous prime is 220146313187. The next prime is 220146313213. The reversal of 220146313200 is 2313641022.

It is an interprime number because it is at equal distance from previous prime (220146313187) and next prime (220146313213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8325676 + ... + 8352075.

Almost surely, 2^220146313200 is an apocalyptic number.

220146313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220146313200 is an abundant number, since it is smaller than the sum of its proper divisors (549165031056).

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

220146313200 is a wasteful number, since it uses less digits than its factorization.

220146313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16677783 (or 16677772 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 220146313200 its reverse (2313641022), we get a palindrome (222459954222).

The spelling of 220146313200 in words is "two hundred twenty billion, one hundred forty-six million, three hundred thirteen thousand, two hundred".