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314226112 = 2643227503
BaseRepresentation
bin10010101110101…
…011010111000000
3210220021100012011
4102232223113000
51120420213422
651102542304
710533610054
oct2256532700
9726240164
10314226112
11151410802
1289297994
135013c115
142da37c64
151c8be077
hex12bab5c0

314226112 has 56 divisors (see below), whose sum is σ = 642128256. Its totient is φ = 152479488.

The previous prime is 314226097. The next prime is 314226119. The reversal of 314226112 is 211622413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314226119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624453 + ... + 624955.

It is an arithmetic number, because the mean of its divisors is an integer number (11466576).

Almost surely, 2314226112 is an apocalyptic number.

314226112 is a gapful number since it is divisible by the number (32) 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 314226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321064128).

314226112 is an abundant number, since it is smaller than the sum of its proper divisors (327902144).

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

314226112 is a wasteful number, since it uses less digits than its factorization.

314226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 314226112 is about 17726.4241176837. The cubic root of 314226112 is about 679.8515477549.

Adding to 314226112 its reverse (211622413), we get a palindrome (525848525).

The spelling of 314226112 in words is "three hundred fourteen million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 227 344 454 503 688 908 1006 1376 1816 2012 2752 3632 4024 7264 8048 9761 14528 16096 19522 21629 32192 39044 43258 78088 86516 114181 156176 173032 228362 312352 346064 456724 624704 692128 913448 1384256 1826896 3653792 4909783 7307584 9819566 19639132 39278264 78556528 157113056 314226112