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2166779940 = 2235133775079
BaseRepresentation
bin1000000100100110…
…0111000000100100
312121000011211021220
42001021213000210
513414143424230
6555001340340
7104460216453
oct20111470044
95530154256
102166779940
11a120aa926
125057976b0
13286b9cb10
14167ab0b9a
15ca358d10
hex81267024

2166779940 has 96 divisors (see below), whose sum is σ = 6710350080. Its totient is φ = 518939136.

The previous prime is 2166779939. The next prime is 2166779959. The reversal of 2166779940 is 499776612.

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, 8680 + ... + 66399.

It is an arithmetic number, because the mean of its divisors is an integer number (69899480).

Almost surely, 22166779940 is an apocalyptic number.

2166779940 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 2166779940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355175040).

2166779940 is an abundant number, since it is smaller than the sum of its proper divisors (4543570140).

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

2166779940 is a wasteful number, since it uses less digits than its factorization.

2166779940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75141 (or 75139 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2166779940 is about 46548.6835474431. The cubic root of 2166779940 is about 1294.0118956374.

The spelling of 2166779940 in words is "two billion, one hundred sixty-six million, seven hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 28860 75079 150158 225237 300316 375395 450474 750790 900948 976027 1126185 1501580 1952054 2252370 2777923 2928081 3904108 4504740 4880135 5555846 5856162 8333769 9760270 11111692 11712324 13889615 14640405 16667538 19520540 27779230 29280810 33335076 36112999 41668845 55558460 58561620 72225998 83337690 108338997 144451996 166675380 180564995 216677994 361129990 433355988 541694985 722259980 1083389970 2166779940