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2204368040 = 235710972227
BaseRepresentation
bin1000001101100011…
…1111110010101000
312200121220111110202
42003120333302220
514003304234130
61002423131332
7105424550660
oct20330776250
95617814422
102204368040
11a31343376
125162a3b48
132919008b4
1416ca971a0
15cd7d1145
hex8363fca8

2204368040 has 64 divisors (see below), whose sum is σ = 5720457600. Its totient is φ = 748839168.

The previous prime is 2204368013. The next prime is 2204368069. The reversal of 2204368040 is 408634022.

2204368040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2204367994 and 2204368012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5594 + ... + 66633.

It is an arithmetic number, because the mean of its divisors is an integer number (89382150).

Almost surely, 22204368040 is an apocalyptic number.

2204368040 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 2204368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860228800).

2204368040 is an abundant number, since it is smaller than the sum of its proper divisors (3516089560).

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

2204368040 is a wasteful number, since it uses less digits than its factorization.

2204368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72354 (or 72350 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2204368040 is about 46950.6979713827. The cubic root of 2204368040 is about 1301.4516407542.

The spelling of 2204368040 in words is "two billion, two hundred four million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3815 4360 6104 7630 15260 30520 72227 144454 288908 361135 505589 577816 722270 1011178 1444540 2022356 2527945 2889080 4044712 5055890 7872743 10111780 15745486 20223560 31490972 39363715 55109201 62981944 78727430 110218402 157454860 220436804 275546005 314909720 440873608 551092010 1102184020 2204368040