214036900 has 243 divisors, whose sum is σ = 626774337. Its totient is φ = 63201600.

The previous prime is 214036883. The next prime is 214036903. The reversal of 214036900 is 9630412.

The square root of 214036900 is 14630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 136983616 = 8778^2 + 11704^2 .

It is a super-2 number, since 2×214036900² = 91623589123220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214036903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11265091 + ... + 11265109.

Almost surely, 2^214036900 is an apocalyptic number.

214036900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214036900 is the 14630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214036900

214036900 is an abundant number, since it is smaller than the sum of its proper divisors (412737437).

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

214036900 is a wasteful number, since it uses less digits than its factorization.

214036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 214036900 is about 598.1767802092.

Multiplying 214036900 by its sum of digits (25), we get a square (5350922500 = 73150²).

214036900 divided by its sum of digits (25) gives a square (8561476 = 2926²).

Multiplying 214036900 by its product of nonzero digits (1296), we get a square (277391822400 = 526680²).

The spelling of 214036900 in words is "two hundred fourteen million, thirty-six thousand, nine hundred".