214714600 has 24 divisors (see below), whose sum is σ = 499211910. Its totient is φ = 85885760.

The previous prime is 214714597. The next prime is 214714603. The reversal of 214714600 is 6417412.

It is an interprime number because it is at equal distance from previous prime (214714597) and next prime (214714603).

It can be written as a sum of positive squares in 3 ways, for example, as 192265956 + 22448644 = 13866^2 + 4738^2 .

It is a super-2 number, since 2×214714600² = 92204718906320000, 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 (214714603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 536587 + ... + 536986.

Almost surely, 2^214714600 is an apocalyptic number.

214714600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214714600 is an abundant number, since it is smaller than the sum of its proper divisors (284497310).

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

214714600 is a wasteful number, since it uses less digits than its factorization.

214714600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073589 (or 1073580 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 214714600 is about 14653.1430075598. The cubic root of 214714600 is about 598.8074460771.

The spelling of 214714600 in words is "two hundred fourteen million, seven hundred fourteen thousand, six hundred".