221972514632 has 108 divisors (see below), whose sum is σ = 483425740665. Its totient is φ = 95466317760.

The previous prime is 221972514601. The next prime is 221972514637. The reversal of 221972514632 is 236415279122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 221922019396 + 50495236 = 471086^2 + 7106^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333146.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (221972514637) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278509658 + ... + 278510454.

Almost surely, 2^221972514632 is an apocalyptic number.

221972514632 is a gapful number since it is divisible by the number (22) 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 221972514632

221972514632 is an abundant number, since it is smaller than the sum of its proper divisors (261453226033).

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

221972514632 is an equidigital number, since it uses as much as digits as its factorization.

221972514632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 829 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The spelling of 221972514632 in words is "two hundred twenty-one billion, nine hundred seventy-two million, five hundred fourteen thousand, six hundred thirty-two".