214741800 has 768 divisors, whose sum is σ = 999936000. Its totient is φ = 41057280.

The previous prime is 214741783. The next prime is 214741847. The reversal of 214741800 is 8147412.

It is a super-2 number, since 2×214741800² = 92228081334480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 9336589 + ... + 9336611.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^214741800 is an apocalyptic number.

214741800 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 214741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

214741800 is an abundant number, since it is smaller than the sum of its proper divisors (785194200).

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

214741800 is a wasteful number, since it uses less digits than its factorization.

214741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 214741800 is about 14654.0711066925. The cubic root of 214741800 is about 598.8327306096.

The spelling of 214741800 in words is "two hundred fourteen million, seven hundred forty-one thousand, eight hundred".