214808048 has 160 divisors (see below), whose sum is σ = 542631936. Its totient is φ = 80123904.

The previous prime is 214808003. The next prime is 214808071. The reversal of 214808048 is 840808412.

It is a super-2 number, since 2×214808048² = 92284994971140608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214807999 and 214808017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942540 + ... + 2942612.

Almost surely, 2^214808048 is an apocalyptic number.

214808048 is a gapful number since it is divisible by the number (28) 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 214808048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271315968).

214808048 is an abundant number, since it is smaller than the sum of its proper divisors (327823888).

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

214808048 is a wasteful number, since it uses less digits than its factorization.

214808048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 214808048 is about 14656.3313281326. The cubic root of 214808048 is about 598.8943043877.

The spelling of 214808048 in words is "two hundred fourteen million, eight hundred eight thousand, forty-eight".