221652496 has 80 divisors (see below), whose sum is σ = 482094144. Its totient is φ = 98053632.

The previous prime is 221652451. The next prime is 221652521. The reversal of 221652496 is 694256122.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 638595 + ... + 638941.

Almost surely, 2^221652496 is an apocalyptic number.

221652496 is a gapful number since it is divisible by the number (26) 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 221652496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241047072).

221652496 is an abundant number, since it is smaller than the sum of its proper divisors (260441648).

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

221652496 is a wasteful number, since it uses less digits than its factorization.

221652496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 221652496 is about 14887.9983879634. The cubic root of 221652496 is about 605.1887906593.

The spelling of 221652496 in words is "two hundred twenty-one million, six hundred fifty-two thousand, four hundred ninety-six".