65220224 has 32 divisors (see below), whose sum is σ = 132076740. Its totient is φ = 32071680.

The previous prime is 65220173. The next prime is 65220227. The reversal of 65220224 is 42202256.

It can be written as a sum of positive squares in 2 ways, for example, as 62094400 + 3125824 = 7880^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×65220224² = 8507355237220352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65220224.

It is not an unprimeable number, because it can be changed into a prime (65220227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3632 + ... + 11984.

Almost surely, 2^65220224 is an apocalyptic number.

65220224 is a gapful number since it is divisible by the number (64) 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 65220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66038370).

65220224 is an abundant number, since it is smaller than the sum of its proper divisors (66856516).

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

65220224 is an equidigital number, since it uses as much as digits as its factorization.

65220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 65220224 is about 8075.9039122565. The cubic root of 65220224 is about 402.5261462125.

The spelling of 65220224 in words is "sixty-five million, two hundred twenty thousand, two hundred twenty-four".