214636000 has 96 divisors (see below), whose sum is σ = 550525248. Its totient is φ = 82086400.

The previous prime is 214635983. The next prime is 214636013. The reversal of 214636000 is 636412.

It is a super-2 number, since 2×214636000² = 92137224992000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90834 + ... + 93166.

It is an arithmetic number, because the mean of its divisors is an integer number (5734638).

Almost surely, 2^214636000 is an apocalyptic number.

214636000 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 214636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275262624).

214636000 is an abundant number, since it is smaller than the sum of its proper divisors (335889248).

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

214636000 is a wasteful number, since it uses less digits than its factorization.

214636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 214636000 is about 14650.4607436080. The cubic root of 214636000 is about 598.7343692120.

The spelling of 214636000 in words is "two hundred fourteen million, six hundred thirty-six thousand".