55222560 has 120 divisors (see below), whose sum is σ = 194935356. Its totient is φ = 14722560.

The previous prime is 55222553. The next prime is 55222567. The reversal of 55222560 is 6522255.

It is an interprime number because it is at equal distance from previous prime (55222553) and next prime (55222567).

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 2862864 = 7236^2 + 1692^2 .

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

It is a super-2 number, since 2×55222560² = 6099062265907200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55222567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10830 + ... + 15090.

Almost surely, 2^55222560 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 55222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97467678).

55222560 is an abundant number, since it is smaller than the sum of its proper divisors (139712796).

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

55222560 is a wasteful number, since it uses less digits than its factorization.

55222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55222560 is about 7431.1883302740. The cubic root of 55222560 is about 380.8075163877.

The spelling of 55222560 in words is "fifty-five million, two hundred twenty-two thousand, five hundred sixty".