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2314376592 = 2431122919141
BaseRepresentation
bin1000100111110010…
…1001010110010000
312222021220111211120
42021330221112100
514214440022332
61021353042240
7111231606423
oct21174512620
95867814746
102314376592
11a88450430
125470b6380
132ab639b08
1417d5319ba
15d82b132c
hex89f29590

2314376592 has 80 divisors (see below), whose sum is σ = 6551158080. Its totient is φ = 698227200.

The previous prime is 2314376557. The next prime is 2314376609. The reversal of 2314376592 is 2956734132.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111342 + ... + 130482.

It is an arithmetic number, because the mean of its divisors is an integer number (81889476).

Almost surely, 22314376592 is an apocalyptic number.

2314376592 is a gapful number since it is divisible by the number (22) 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 2314376592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275579040).

2314376592 is an abundant number, since it is smaller than the sum of its proper divisors (4236781488).

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

2314376592 is a wasteful number, since it uses less digits than its factorization.

2314376592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19386 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 2314376592 is about 48107.9680718278. The cubic root of 2314376592 is about 1322.7507284624.

The spelling of 2314376592 in words is "two billion, three hundred fourteen million, three hundred seventy-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 916 1374 1832 2519 2748 3664 5038 5496 7557 10076 10992 15114 19141 20152 30228 38282 40304 57423 60456 76564 114846 120912 153128 210551 229692 306256 421102 459384 631653 842204 918768 1263306 1684408 2526612 3368816 4383289 5053224 8766578 10106448 13149867 17533156 26299734 35066312 48216179 52599468 70132624 96432358 105198936 144648537 192864716 210397872 289297074 385729432 578594148 771458864 1157188296 2314376592