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2204734880 = 255313371319
BaseRepresentation
bin1000001101101001…
…1001010110100000
312200122121010200102
42003122121112200
514003403004010
61002435041532
7105430636325
oct20332312640
95618533612
102204734880
11a31573a47
125164402a8
132919cb86a
1416cb50b4c
15cd854ba5
hex836995a0

2204734880 has 96 divisors (see below), whose sum is σ = 5396751360. Its totient is φ = 850268160.

The previous prime is 2204734877. The next prime is 2204734927. The reversal of 2204734880 is 884374022.

It is a happy number.

It is a super-2 number, since 2×22047348802 = 9721711782177228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1670861 + ... + 1672179.

It is an arithmetic number, because the mean of its divisors is an integer number (56216160).

Almost surely, 22204734880 is an apocalyptic number.

2204734880 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 2204734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698375680).

2204734880 is an abundant number, since it is smaller than the sum of its proper divisors (3192016480).

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

2204734880 is a wasteful number, since it uses less digits than its factorization.

2204734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2204734880 is about 46954.6044600527. The cubic root of 2204734880 is about 1301.5238304596.

The spelling of 2204734880 in words is "two billion, two hundred four million, seven hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 337 496 620 674 992 1240 1319 1348 1685 2480 2638 2696 3370 4960 5276 5392 6595 6740 10447 10552 10784 13190 13480 20894 21104 26380 26960 40889 41788 42208 52235 52760 53920 81778 83576 104470 105520 163556 167152 204445 208940 211040 327112 334304 408890 417880 444503 654224 817780 835760 889006 1308448 1635560 1671520 1778012 2222515 3271120 3556024 4445030 6542240 7112048 8890060 13779593 14224096 17780120 27559186 35560240 55118372 68897965 71120480 110236744 137795930 220473488 275591860 440946976 551183720 1102367440 2204734880