221948408 has 32 divisors (see below), whose sum is σ = 455200560. Its totient is φ = 100615680.

The previous prime is 221948393. The next prime is 221948423. The reversal of 221948408 is 804849122.

It is an interprime number because it is at equal distance from previous prime (221948393) and next prime (221948423).

It is a super-2 number, since 2×221948408² = 98522191627468928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31760 + ... + 38112.

Almost surely, 2^221948408 is an apocalyptic number.

It is an amenable number.

221948408 is an abundant number, since it is smaller than the sum of its proper divisors (233252152).

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

221948408 is a wasteful number, since it uses less digits than its factorization.

221948408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 221948408 is about 14897.9330109918. The cubic root of 221948408 is about 605.4579852986.

The spelling of 221948408 in words is "two hundred twenty-one million, nine hundred forty-eight thousand, four hundred eight".