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2164987110 = 23511131926561
BaseRepresentation
bin1000000100001011…
…0001010011100110
312120212210201222210
42001002301103212
513413214041420
6554455104250
7104436041526
oct20102612346
95525721883
102164987110
11a11095950
12505072086
132866c2a80
14167765686
15ca1029e0
hex810b14e6

2164987110 has 128 divisors (see below), whose sum is σ = 6425879040. Its totient is φ = 458956800.

The previous prime is 2164987087. The next prime is 2164987127. The reversal of 2164987110 is 117894612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68230 + ... + 94790.

It is an arithmetic number, because the mean of its divisors is an integer number (50202180).

Almost surely, 22164987110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164987110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212939520).

2164987110 is an abundant number, since it is smaller than the sum of its proper divisors (4260891930).

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

2164987110 is a wasteful number, since it uses less digits than its factorization.

2164987110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26614.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 2164987110 is about 46529.4219822254. The cubic root of 2164987110 is about 1293.6549014558.

The spelling of 2164987110 in words is "two billion, one hundred sixty-four million, nine hundred eighty-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 2090 2145 2470 2717 3135 3705 4290 5434 6270 7410 8151 13585 16302 26561 27170 40755 53122 79683 81510 132805 159366 265610 292171 345293 398415 504659 584342 690586 796830 876513 1009318 1035879 1460855 1513977 1726465 1753026 2071758 2523295 2921710 3027954 3452930 3798223 4382565 5046590 5179395 5551249 6560567 7569885 7596446 8765130 10358790 11102498 11394669 13121134 15139770 16653747 18991115 19681701 22789338 27756245 32802835 33307494 37982230 39363402 55512490 56973345 65605670 72166237 83268735 98408505 113946690 144332474 166537470 196817010 216498711 360831185 432997422 721662370 1082493555 2164987110