220465152 has 144 divisors (see below), whose sum is σ = 661817520. Its totient is φ = 73322496.

The previous prime is 220465139. The next prime is 220465169. The reversal of 220465152 is 251564022.

220465152 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 651 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497443 + ... + 497885.

It is an arithmetic number, because the mean of its divisors is an integer number (4595955).

Almost surely, 2^220465152 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 220465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330908760).

220465152 is an abundant number, since it is smaller than the sum of its proper divisors (441352368).

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

220465152 is an frugal number, since it uses more digits than its factorization.

220465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 220465152 is about 14848.0689653571. The cubic root of 220465152 is about 604.1062339638.

The spelling of 220465152 in words is "two hundred twenty million, four hundred sixty-five thousand, one hundred fifty-two".