66220224 has 112 divisors (see below), whose sum is σ = 207264000. Its totient is φ = 18256896.

The previous prime is 66220211. The next prime is 66220229. The reversal of 66220224 is 42202266.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×66220224² = 8770236133220352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66220194 and 66220203.

It is not an unprimeable number, because it can be changed into a prime (66220229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38127 + ... + 39825.

Almost surely, 2^66220224 is an apocalyptic number.

66220224 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 66220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632000).

66220224 is an abundant number, since it is smaller than the sum of its proper divisors (141043776).

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

66220224 is a wasteful number, since it uses less digits than its factorization.

66220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66220224 is about 8137.5809673391. The cubic root of 66220224 is about 404.5729869116.

The spelling of 66220224 in words is "sixty-six million, two hundred twenty thousand, two hundred twenty-four".