Search a number
-
+
2166427410 = 235752119801
BaseRepresentation
bin1000000100100001…
…0000111100010010
312120222111220201020
42001020100330102
513414101134120
6554550020310
7104454220620
oct20110207422
95528456636
102166427410
11a11989a84
12505647696
13286aa8514
14167a1c510
15ca2d9640
hex81210f12

2166427410 has 64 divisors (see below), whose sum is σ = 5953906944. Its totient is φ = 494208000.

The previous prime is 2166427357. The next prime is 2166427433. The reversal of 2166427410 is 147246612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99510 + ... + 119310.

It is an arithmetic number, because the mean of its divisors is an integer number (93029796).

Almost surely, 22166427410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166427410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976953472).

2166427410 is an abundant number, since it is smaller than the sum of its proper divisors (3787479534).

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

2166427410 is a wasteful number, since it uses less digits than its factorization.

2166427410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2166427410 is about 46544.8967127439. The cubic root of 2166427410 is about 1293.9417142672.

The spelling of 2166427410 in words is "two billion, one hundred sixty-six million, four hundred twenty-seven thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 521 1042 1563 2605 3126 3647 5210 7294 7815 10941 15630 18235 19801 21882 36470 39602 54705 59403 99005 109410 118806 138607 198010 277214 297015 415821 594030 693035 831642 1386070 2079105 4158210 10316321 20632642 30948963 51581605 61897926 72214247 103163210 144428494 154744815 216642741 309489630 361071235 433285482 722142470 1083213705 2166427410