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2132140224 = 26371229683
BaseRepresentation
bin111111100010101…
…1110000011000000
312111120222221112110
41333011132003000
513331311441344
6551323055320
7103556615154
oct17705360300
95446887473
102132140224
119a45a0565
124b6071540
1327c962046
14163255064
15c72b53b9
hex7f15e0c0

2132140224 has 112 divisors (see below), whose sum is σ = 5754136320. Its totient is φ = 696622080.

The previous prime is 2132140217. The next prime is 2132140237. The reversal of 2132140224 is 4220412312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132140224.

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, 3121387 + ... + 3122069.

Almost surely, 22132140224 is an apocalyptic number.

2132140224 is a gapful number since it is divisible by the number (24) 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 2132140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877068160).

2132140224 is an abundant number, since it is smaller than the sum of its proper divisors (3621996096).

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

2132140224 is a wasteful number, since it uses less digits than its factorization.

2132140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2132140224 is about 46175.1039414098. The cubic root of 2132140224 is about 1287.0791483887.

Adding to 2132140224 its reverse (4220412312), we get a palindrome (6352552536).

The spelling of 2132140224 in words is "two billion, one hundred thirty-two million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 229 284 426 458 568 683 687 852 916 1136 1366 1374 1704 1832 2049 2272 2732 2748 3408 3664 4098 4544 5464 5496 6816 7328 8196 10928 10992 13632 14656 16259 16392 21856 21984 32518 32784 43712 43968 48493 48777 65036 65568 96986 97554 130072 131136 145479 156407 193972 195108 260144 290958 312814 387944 390216 469221 520288 581916 625628 775888 780432 938442 1040576 1163832 1251256 1551776 1560864 1876884 2327664 2502512 3103552 3121728 3753768 4655328 5005024 7507536 9310656 10010048 11104897 15015072 22209794 30030144 33314691 44419588 66629382 88839176 133258764 177678352 266517528 355356704 533035056 710713408 1066070112 2132140224