220582148402 has 162 divisors, whose sum is σ = 448478700831. Its totient is φ = 81059212080.

The previous prime is 220582148387. The next prime is 220582148417. The reversal of 220582148402 is 204841285022.

It is an interprime number because it is at equal distance from previous prime (220582148387) and next prime (220582148417).

It can be written as a sum of positive squares in only one way, i.e., 110291074201 + 110291074201 = 332101^2 + 332101^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332101.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 971727413 + ... + 971727639.

Almost surely, 2^220582148402 is an apocalyptic number.

220582148402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220582148402 is an abundant number, since it is smaller than the sum of its proper divisors (227896552429).

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

220582148402 is a wasteful number, since it uses less digits than its factorization.

220582148402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 38.

The spelling of 220582148402 in words is "two hundred twenty billion, five hundred eighty-two million, one hundred forty-eight thousand, four hundred two".