214048100 has 36 divisors (see below), whose sum is σ = 530841024. Its totient is φ = 73387680.

The previous prime is 214048069. The next prime is 214048117. The reversal of 214048100 is 1840412.

It is a super-2 number, since 2×214048100² = 91633178227220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152192 + ... + 153591.

It is an arithmetic number, because the mean of its divisors is an integer number (14745584).

Almost surely, 2^214048100 is an apocalyptic number.

214048100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214048100 is an abundant number, since it is smaller than the sum of its proper divisors (316792924).

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

214048100 is a wasteful number, since it uses less digits than its factorization.

214048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305804 (or 305797 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 214048100 is about 14630.3827701123. The cubic root of 214048100 is about 598.1872137109.

Adding to 214048100 its reverse (1840412), we get a palindrome (215888512).

The spelling of 214048100 in words is "two hundred fourteen million, forty-eight thousand, one hundred".