Search a number
-
+
2166000620 = 2257232332887
BaseRepresentation
bin1000000100011010…
…1000101111101100
312120221201020021012
42001012220233230
513413444004440
6554532524352
7104450462420
oct20106505754
95527636235
102166000620
11a11718363
125054806b8
13286989194
1416794ab80
15ca252e65
hex811a8bec

2166000620 has 96 divisors (see below), whose sum is σ = 5449586688. Its totient is φ = 707046912.

The previous prime is 2166000563. The next prime is 2166000623. The reversal of 2166000620 is 260006612.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2166000623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748817 + ... + 751703.

It is an arithmetic number, because the mean of its divisors is an integer number (56766528).

Almost surely, 22166000620 is an apocalyptic number.

2166000620 is a gapful number since it is divisible by the number (20) 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 2166000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724793344).

2166000620 is an abundant number, since it is smaller than the sum of its proper divisors (3283586068).

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

2166000620 is a wasteful number, since it uses less digits than its factorization.

2166000620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2166000620 is about 46540.3117737731. The cubic root of 2166000620 is about 1293.8567390910.

The spelling of 2166000620 in words is "two billion, one hundred sixty-six million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 233 322 460 466 644 805 932 1165 1610 1631 2330 2887 3220 3262 4660 5359 5774 6524 8155 10718 11548 14435 16310 20209 21436 26795 28870 32620 37513 40418 53590 57740 66401 75026 80836 101045 107180 132802 150052 187565 202090 265604 332005 375130 404180 464807 664010 672671 750260 929614 1328020 1345342 1859228 2324035 2690684 3363355 4648070 4708697 6726710 9296140 9417394 13453420 15471433 18834788 23543485 30942866 47086970 61885732 77357165 94173940 108300031 154714330 216600062 309428660 433200124 541500155 1083000310 2166000620