214742000 has 160 divisors (see below), whose sum is σ = 582177024. Its totient is φ = 75936000.

The previous prime is 214741997. The next prime is 214742027. The reversal of 214742000 is 247412.

It is a super-2 number, since 2×214742000² = 92228253128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945887 + ... + 946113.

Almost surely, 2^214742000 is an apocalyptic number.

214742000 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 214742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291088512).

214742000 is an abundant number, since it is smaller than the sum of its proper divisors (367435024).

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

214742000 is a wasteful number, since it uses less digits than its factorization.

214742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 214742000 is about 14654.0779307331. The cubic root of 214742000 is about 598.8329165173.

Adding to 214742000 its reverse (247412), we get a palindrome (214989412).

The spelling of 214742000 in words is "two hundred fourteen million, seven hundred forty-two thousand".