102220224 has 56 divisors (see below), whose sum is σ = 271393920. Its totient is φ = 33955584.

The previous prime is 102220207. The next prime is 102220231. The reversal of 102220224 is 422022201.

It is a super-2 number, since 2×102220224² = 20897948389220352, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68187 + ... + 69669.

It is an arithmetic number, because the mean of its divisors is an integer number (4846320).

Almost surely, 2^102220224 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 102220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135696960).

102220224 is an abundant number, since it is smaller than the sum of its proper divisors (169173696).

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

102220224 is a wasteful number, since it uses less digits than its factorization.

102220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 102220224 is about 10110.4017724322. The cubic root of 102220224 is about 467.5688922085.

Adding to 102220224 its reverse (422022201), we get a palindrome (524242425).

The spelling of 102220224 in words is "one hundred two million, two hundred twenty thousand, two hundred twenty-four".