214001550 has 144 divisors (see below), whose sum is σ = 673519392. Its totient is φ = 47692800.

The previous prime is 214001539. The next prime is 214001561. The reversal of 214001550 is 55100412.

214001550 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214001539) and next prime (214001561).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128322 + ... + 129978.

It is an arithmetic number, because the mean of its divisors is an integer number (4677218).

Almost surely, 2^214001550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214001550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336759696).

214001550 is an abundant number, since it is smaller than the sum of its proper divisors (459517842).

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

214001550 is a wasteful number, since it uses less digits than its factorization.

214001550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 214001550 is about 14628.7918161412. The cubic root of 214001550 is about 598.1438470819.

Adding to 214001550 its reverse (55100412), we get a palindrome (269101962).

The spelling of 214001550 in words is "two hundred fourteen million, one thousand, five hundred fifty".