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2166014370 = 2351317383853
BaseRepresentation
bin1000000100011010…
…1100000110100010
312120221201221010110
42001012230012202
513413444424440
6554533112150
7104450550462
oct20106540642
95527657113
102166014370
11a11727723
12505488656
13286992510
14167951ba2
15ca257080
hex811ac1a2

2166014370 has 128 divisors (see below), whose sum is σ = 5950070784. Its totient is φ = 499912704.

The previous prime is 2166014329. The next prime is 2166014371. The reversal of 2166014370 is 734106612.

2166014370 = 30202 + 30212 + ... + 32402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2166014371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2538864 + ... + 2539716.

It is an arithmetic number, because the mean of its divisors is an integer number (46484928).

Almost surely, 22166014370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166014370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975035392).

2166014370 is an abundant number, since it is smaller than the sum of its proper divisors (3784056414).

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

2166014370 is a wasteful number, since it uses less digits than its factorization.

2166014370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2166014370 is about 46540.4594949384. The cubic root of 2166014370 is about 1293.8594769315.

The spelling of 2166014370 in words is "two billion, one hundred sixty-six million, fourteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 383 390 442 510 663 766 853 1105 1149 1326 1706 1915 2210 2298 2559 3315 3830 4265 4979 5118 5745 6511 6630 8530 9958 11089 11490 12795 13022 14501 14937 19533 22178 24895 25590 29002 29874 32555 33267 39066 43503 49790 55445 65110 66534 72505 74685 84643 87006 97665 110890 145010 149370 166335 169286 188513 195330 217515 253929 326699 332670 377026 423215 435030 507858 565539 653398 846430 942565 980097 1131078 1269645 1633495 1885130 1960194 2539290 2827695 3266990 4247087 4900485 5553883 5655390 8494174 9800970 11107766 12741261 16661649 21235435 25482522 27769415 33323298 42470870 55538830 63706305 72200479 83308245 127412610 144400958 166616490 216601437 361002395 433202874 722004790 1083007185 2166014370