214030944 has 192 divisors, whose sum is σ = 659957760. Its totient is φ = 67392000.

The previous prime is 214030879. The next prime is 214030967. The reversal of 214030944 is 449030412.

It is a super-2 number, since 2×214030944² = 91618489979062272, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633759 + ... + 1633889.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^214030944 is an apocalyptic number.

214030944 is a gapful number since it is divisible by the number (24) 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 214030944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

214030944 is an abundant number, since it is smaller than the sum of its proper divisors (445926816).

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

214030944 is a wasteful number, since it uses less digits than its factorization.

214030944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214030944 is about 14629.7964442435. The cubic root of 214030944 is about 598.1712316738.

The spelling of 214030944 in words is "two hundred fourteen million, thirty thousand, nine hundred forty-four".