220149504 has 216 divisors, whose sum is σ = 688746240. Its totient is φ = 67405824.

The previous prime is 220149481. The next prime is 220149511. The reversal of 220149504 is 405941022.

It is a super-2 number, since 2×220149504² = 96931608222892032, 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 23 ways as a sum of consecutive naturals, for example, 2057419 + ... + 2057525.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^220149504 is an apocalyptic number.

220149504 is a gapful number since it is divisible by the number (24) 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 220149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

220149504 is an abundant number, since it is smaller than the sum of its proper divisors (468596736).

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

220149504 is a wasteful number, since it uses less digits than its factorization.

220149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 220149504 is about 14837.4358970814. The cubic root of 220149504 is about 603.8177892840.

The spelling of 220149504 in words is "two hundred twenty million, one hundred forty-nine thousand, five hundred four".