214426100 has 144 divisors (see below), whose sum is σ = 579462912. Its totient is φ = 67184640.

The previous prime is 214426097. The next prime is 214426109. The reversal of 214426100 is 1624412.

214426100 = T₄₉₁ + T₄₉₂ + ... + T₁₁₁₉.

It is a super-2 number, since 2×214426100² = 91957104722420000, 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 not an unprimeable number, because it can be changed into a prime (214426109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440057 + ... + 440543.

It is an arithmetic number, because the mean of its divisors is an integer number (4024048).

Almost surely, 2^214426100 is an apocalyptic number.

214426100 is a gapful number since it is divisible by the number (20) 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 214426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289731456).

214426100 is an abundant number, since it is smaller than the sum of its proper divisors (365036812).

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

214426100 is a wasteful number, since it uses less digits than its factorization.

214426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214426100 is about 14643.2953941386. The cubic root of 214426100 is about 598.5391311757.

The spelling of 214426100 in words is "two hundred fourteen million, four hundred twenty-six thousand, one hundred".