214150300 has 144 divisors (see below), whose sum is σ = 580087872. Its totient is φ = 66816000.

The previous prime is 214150253. The next prime is 214150303. The reversal of 214150300 is 3051412.

214150300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214150303) 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, 918984 + ... + 919216.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^214150300 is an apocalyptic number.

214150300 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 214150300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290043936).

214150300 is an abundant number, since it is smaller than the sum of its proper divisors (365937572).

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

214150300 is a wasteful number, since it uses less digits than its factorization.

214150300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 214150300 is about 14633.8750848844. The cubic root of 214150300 is about 598.2824026053.

It can be divided in two parts, 2141 and 50300, that added together give a square (52441 = 229²).

The spelling of 214150300 in words is "two hundred fourteen million, one hundred fifty thousand, three hundred".