221154496 has 112 divisors (see below), whose sum is σ = 491581440. Its totient is φ = 98242560.

The previous prime is 221154487. The next prime is 221154497. The reversal of 221154496 is 694451122.

221154496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221154496² = 97818622202028032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (221154497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664471 + ... + 2664553.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^221154496 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 221154496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

221154496 is an abundant number, since it is smaller than the sum of its proper divisors (270426944).

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

221154496 is a wasteful number, since it uses less digits than its factorization.

221154496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 221154496 is about 14871.2641022880. The cubic root of 221154496 is about 604.7352127722.

The spelling of 221154496 in words is "two hundred twenty-one million, one hundred fifty-four thousand, four hundred ninety-six".