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2166662940 = 2235139912803
BaseRepresentation
bin1000000100100100…
…1010011100011100
312120222221212210120
42001021022130130
513414131203230
6554555034540
7104456221401
oct20111123434
95528855716
102166662940
11a1202aa32
1250573ba50
13286b5b7a0
14167a802a8
15ca334310
hex8124a71c

2166662940 has 96 divisors (see below), whose sum is σ = 6542247936. Its totient is φ = 532604160.

The previous prime is 2166662923. The next prime is 2166662947. The reversal of 2166662940 is 492666612.

It is a junction number, because it is equal to n+sod(n) for n = 2166662892 and 2166662901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166662947) 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, 771579 + ... + 774381.

It is an arithmetic number, because the mean of its divisors is an integer number (68148416).

Almost surely, 22166662940 is an apocalyptic number.

2166662940 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 2166662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271123968).

2166662940 is an abundant number, since it is smaller than the sum of its proper divisors (4375584996).

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

2166662940 is a wasteful number, since it uses less digits than its factorization.

2166662940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2166662940 is about 46547.4267817245. The cubic root of 2166662940 is about 1293.9886042217.

The spelling of 2166662940 in words is "two billion, one hundred sixty-six million, six hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 991 1982 2803 2973 3964 4955 5606 5946 8409 9910 11212 11892 12883 14015 14865 16818 19820 25766 28030 29730 33636 36439 38649 42045 51532 56060 59460 64415 72878 77298 84090 109317 128830 145756 154596 168180 182195 193245 218634 257660 364390 386490 437268 546585 728780 772980 1093170 2186340 2777773 5555546 8333319 11111092 13888865 16666638 27777730 33333276 36111049 41666595 55555460 72222098 83333190 108333147 144444196 166666380 180555245 216666294 361110490 433332588 541665735 722220980 1083331470 2166662940