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2314344100 = 225228182361
BaseRepresentation
bin1000100111110010…
…0001011010100100
312222021211212021011
42021330201122210
514214433002400
61021352232004
7111231412615
oct21174413244
95867755234
102314344100
11a88428a82
1254709b604
132ab6280a3
1417d523c0c
15d82a68ba
hex89f216a4

2314344100 has 36 divisors (see below), whose sum is σ = 5040060228. Its totient is φ = 922432000.

The previous prime is 2314344059. The next prime is 2314344127. The reversal of 2314344100 is 14434132.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 2313802404 = 736^2 + 48102^2 .

It is a super-2 number, since 2×23143441002 = 10712377226409620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13081 + ... + 69280.

It is an arithmetic number, because the mean of its divisors is an integer number (140001673).

Almost surely, 22314344100 is an apocalyptic number.

2314344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314344100 is an abundant number, since it is smaller than the sum of its proper divisors (2725716128).

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

2314344100 is a wasteful number, since it uses less digits than its factorization.

2314344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82656 (or 82649 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2314344100 is about 48107.6303719067. The cubic root of 2314344100 is about 1322.7445383120.

Adding to 2314344100 its reverse (14434132), we get a palindrome (2328778232).

The spelling of 2314344100 in words is "two billion, three hundred fourteen million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 28100 82361 164722 329444 411805 823610 1647220 2059025 4118050 8236100 23143441 46286882 92573764 115717205 231434410 462868820 578586025 1157172050 2314344100