214119906 has 144 divisors (see below), whose sum is σ = 590954112. Its totient is φ = 51226560.

The previous prime is 214119901. The next prime is 214119929. The reversal of 214119906 is 609911412.

214119906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214119901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 462231 + ... + 462693.

It is an arithmetic number, because the mean of its divisors is an integer number (4103848).

Almost surely, 2^214119906 is an apocalyptic number.

214119906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214119906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295477056).

214119906 is an abundant number, since it is smaller than the sum of its proper divisors (376834206).

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

214119906 is a wasteful number, since it uses less digits than its factorization.

214119906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 214119906 is about 14632.8365671185. The cubic root of 214119906 is about 598.2540968535.

The spelling of 214119906 in words is "two hundred fourteen million, one hundred nineteen thousand, nine hundred six".