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314230224 = 243711259131
BaseRepresentation
bin10010101110101…
…100010111010000
3210220021112211110
4102232230113100
51120420331344
651103013320
710533625050
oct2256542720
9726245743
10314230224
11151413900
128929a240
1350140c59
142da39560
151c8c03b9
hex12bac5d0

314230224 has 240 divisors, whose sum is σ = 1044933120. Its totient is φ = 79622400.

The previous prime is 314230223. The next prime is 314230243. The reversal of 314230224 is 422032413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 314230224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314230223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2398639 + ... + 2398769.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2314230224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

314230224 is an abundant number, since it is smaller than the sum of its proper divisors (730702896).

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

314230224 is a wasteful number, since it uses less digits than its factorization.

314230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 314230224 is about 17726.5401023437. The cubic root of 314230224 is about 679.8545132812.

Adding to 314230224 its reverse (422032413), we get a palindrome (736262637).

The spelling of 314230224 in words is "three hundred fourteen million, two hundred thirty thousand, two hundred twenty-four".