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2274831456 = 25329899181
BaseRepresentation
bin1000011110010111…
…0010110001100000
312212112111102002220
42013211302301200
514124324101311
61013421311040
7110241514452
oct20745626140
95775442086
102274831456
11a680a05a7
12535a05480
132a33a2321
1417819a2d2
15d4a9e206
hex87972c60

2274831456 has 96 divisors (see below), whose sum is σ = 6247432800. Its totient is φ = 723824640.

The previous prime is 2274831437. The next prime is 2274831467. The reversal of 2274831456 is 6541384722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 243186 + ... + 252366.

It is an arithmetic number, because the mean of its divisors is an integer number (65077425).

Almost surely, 22274831456 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 2274831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123716400).

2274831456 is an abundant number, since it is smaller than the sum of its proper divisors (3972601344).

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

2274831456 is a wasteful number, since it uses less digits than its factorization.

2274831456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9304 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2274831456 is about 47695.1932169270. The cubic root of 2274831456 is about 1315.1735772067.

The spelling of 2274831456 in words is "two billion, two hundred seventy-four million, eight hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 89 96 116 174 178 232 267 348 356 464 534 696 712 928 1068 1392 1424 2136 2581 2784 2848 4272 5162 7743 8544 9181 10324 15486 18362 20648 27543 30972 36724 41296 55086 61944 73448 82592 110172 123888 146896 220344 247776 266249 293792 440688 532498 798747 817109 881376 1064996 1597494 1634218 2129992 2451327 3194988 3268436 4259984 4902654 6389976 6536872 8519968 9805308 12779952 13073744 19610616 23696161 25559904 26147488 39221232 47392322 71088483 78442464 94784644 142176966 189569288 284353932 379138576 568707864 758277152 1137415728 2274831456