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2190979296 = 2532115313049
BaseRepresentation
bin1000001010010111…
…1011000011100000
312122200201021120100
42002211323003200
513441342314141
61001224142400
7105203005512
oct20245730340
95580637510
102190979296
11a248291a0
12511907a00
1328bbc376c
1416adadbb2
15cc5390b6
hex8297b0e0

2190979296 has 144 divisors (see below), whose sum is σ = 6925791600. Its totient is φ = 651356160.

The previous prime is 2190979289. The next prime is 2190979331. The reversal of 2190979296 is 6929790912.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161380 + ... + 174428.

It is an arithmetic number, because the mean of its divisors is an integer number (48095775).

Almost surely, 22190979296 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 2190979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462895800).

2190979296 is an abundant number, since it is smaller than the sum of its proper divisors (4734812304).

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

2190979296 is a wasteful number, since it uses less digits than its factorization.

2190979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 2190979296 is about 46807.8977951371. The cubic root of 2190979296 is about 1298.8113979996.

The spelling of 2190979296 in words is "two billion, one hundred ninety million, nine hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 848 954 1056 1166 1272 1584 1696 1749 1908 2332 2544 3168 3498 3816 4664 5088 5247 6996 7632 9328 10494 13049 13992 15264 18656 20988 26098 27984 39147 41976 52196 55968 78294 83952 104392 117441 143539 156588 167904 208784 234882 287078 313176 417568 430617 469764 574156 626352 691597 861234 939528 1148312 1252704 1291851 1383194 1722468 1879056 2074791 2296624 2583702 2766388 3444936 3758112 4149582 4593248 5167404 5532776 6224373 6889872 7607567 8299164 10334808 11065552 12448746 13779744 15215134 16598328 20669616 22131104 22822701 24897492 30430268 33196656 41339232 45645402 49794984 60860536 66393312 68468103 91290804 99589968 121721072 136936206 182581608 199179936 243442144 273872412 365163216 547744824 730326432 1095489648 2190979296