82237220 has 24 divisors (see below), whose sum is σ = 185983224. Its totient is φ = 30364416.

The previous prime is 82237163. The next prime is 82237223. The reversal of 82237220 is 2273228.

82237220 = T₂₈₂ + T₂₈₃ + ... + T₈₀₁.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 81036004 = 1096^2 + 9002^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 82237220.

It is not an unprimeable number, because it can be changed into a prime (82237223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157889 + ... + 158408.

It is an arithmetic number, because the mean of its divisors is an integer number (7749301).

Almost surely, 2^82237220 is an apocalyptic number.

It is an amenable number.

82237220 is an abundant number, since it is smaller than the sum of its proper divisors (103746004).

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

82237220 is a wasteful number, since it uses less digits than its factorization.

82237220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316319 (or 316317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 82237220 is about 9068.4739620291. The cubic root of 82237220 is about 434.8666874701.

The spelling of 82237220 in words is "eighty-two million, two hundred thirty-seven thousand, two hundred twenty".