Search a number
-
+
2207666440 = 235743183361
BaseRepresentation
bin1000001110010110…
…0101000100001000
312200212010002000201
42003211211010020
514010130311230
61003021541544
7105464566210
oct20345450410
95625102021
102207666440
11a33196521
125174148b4
132924b7005
1416d2b5240
15cdc335ca
hex83965108

2207666440 has 64 divisors (see below), whose sum is σ = 5808908160. Its totient is φ = 739307520.

The previous prime is 2207666437. The next prime is 2207666473. The reversal of 2207666440 is 446667022.

It is a super-2 number, since 2×22076664402 = 9747582220604547200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2207666440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79641 + ... + 103720.

It is an arithmetic number, because the mean of its divisors is an integer number (90764190).

Almost surely, 22207666440 is an apocalyptic number.

2207666440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2207666440 is an abundant number, since it is smaller than the sum of its proper divisors (3601241720).

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

2207666440 is a wasteful number, since it uses less digits than its factorization.

2207666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183422 (or 183418 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 2207666440 is about 46985.8110497201. The cubic root of 2207666440 is about 1302.1004387664.

The spelling of 2207666440 in words is "two billion, two hundred seven million, six hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 183361 366722 733444 916805 1283527 1466888 1833610 2567054 3667220 5134108 6417635 7334440 7884523 10268216 12835270 15769046 25670540 31538092 39422615 51341080 55191661 63076184 78845230 110383322 157690460 220766644 275958305 315380920 441533288 551916610 1103833220 2207666440