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2239874868 = 22372113111171
BaseRepresentation
bin1000010110000001…
…1100011100110100
312210002201102200110
42011200130130310
514041401443433
61010132143020
7106335423300
oct20540343464
95702642613
102239874868
11a4a395160
12526167a70
1329908325a
1417369ad00
15d1996963
hex8581c734

2239874868 has 144 divisors (see below), whose sum is σ = 6846916608. Its totient is φ = 562968000.

The previous prime is 2239874863. The next prime is 2239874953. The reversal of 2239874868 is 8684789322.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2239874863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194923 + ... + 206093.

It is an arithmetic number, because the mean of its divisors is an integer number (47548032).

Almost surely, 22239874868 is an apocalyptic number.

2239874868 is a gapful number since it is divisible by the number (28) 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 2239874868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423458304).

2239874868 is an abundant number, since it is smaller than the sum of its proper divisors (4607041740).

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

2239874868 is a wasteful number, since it uses less digits than its factorization.

2239874868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11225 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 2239874868 is about 47327.3162983070. The cubic root of 2239874868 is about 1308.4021596295.

The spelling of 2239874868 in words is "two billion, two hundred thirty-nine million, eight hundred seventy-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 462 539 588 651 682 868 924 1023 1078 1302 1364 1519 1617 2046 2156 2387 2604 3038 3234 4092 4557 4774 6076 6468 7161 9114 9548 11171 14322 16709 18228 22342 28644 33418 33513 44684 50127 66836 67026 78197 100254 122881 134052 156394 200508 234591 245762 312788 346301 368643 469182 491524 547379 692602 737286 860167 938364 1038903 1094758 1385204 1474572 1642137 1720334 2077806 2189516 2424107 2580501 3284274 3440668 3809311 4155612 4848214 5161002 6021169 6568548 7272321 7618622 9696428 10322004 11427933 12042338 14544642 15237244 16968749 18063507 22855866 24084676 26665177 29089284 33937498 36127014 45711732 50906247 53330354 67874996 72254028 79995531 101812494 106660708 159991062 186656239 203624988 319982124 373312478 559968717 746624956 1119937434 2239874868