214033000 has 32 divisors (see below), whose sum is σ = 500839560. Its totient is φ = 85612800.

The previous prime is 214032989. The next prime is 214033003. The reversal of 214033000 is 330412.

It can be written as a sum of positive squares in 4 ways, for example, as 112063396 + 101969604 = 10586^2 + 10098^2 .

It is not an unprimeable number, because it can be changed into a prime (214033003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106017 + ... + 108016.

Almost surely, 2^214033000 is an apocalyptic number.

214033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033000 is an abundant number, since it is smaller than the sum of its proper divisors (286806560).

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

214033000 is a wasteful number, since it uses less digits than its factorization.

214033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214054 (or 214040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 214033000 is about 14629.8667116280. The cubic root of 214033000 is about 598.1731470294.

Adding to 214033000 its reverse (330412), we get a palindrome (214363412).

The spelling of 214033000 in words is "two hundred fourteen million, thirty-three thousand".