Search a number
-
+
214312500 = 223356127
BaseRepresentation
bin11001100011000…
…10011000110100
3112221021012111000
430301202120310
5414331000000
633133243300
75211424533
oct1461423064
9487235430
10214312500
11aaa79176
125b933530
1335528a3c
142066a31a
1513c35000
hexcc62634

214312500 has 168 divisors, whose sum is σ = 699991040. Its totient is φ = 56700000.

The previous prime is 214312499. The next prime is 214312519. The reversal of 214312500 is 5213412.

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 55 ways as a sum of consecutive naturals, for example, 1687437 + ... + 1687563.

Almost surely, 2214312500 is an apocalyptic number.

214312500 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 214312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349995520).

214312500 is an abundant number, since it is smaller than the sum of its proper divisors (485678540).

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

214312500 is an equidigital number, since it uses as much as digits as its factorization.

214312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214312500 is about 14639.4159719574. The cubic root of 214312500 is about 598.4334132364.

Adding to 214312500 its reverse (5213412), we get a palindrome (219525912).

The spelling of 214312500 in words is "two hundred fourteen million, three hundred twelve thousand, five hundred".