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2204047872 = 29321336793
BaseRepresentation
bin1000001101011111…
…0001101000000000
312200121022020021200
42003113301220000
514003214012442
61002412221200
7105422045355
oct20327615000
95617266250
102204047872
11a31144874
1251616a800
1329181ac50
1416ca1262c
15cd76b34c
hex835f1a00

2204047872 has 120 divisors (see below), whose sum is σ = 6850527684. Its totient is φ = 678150144.

The previous prime is 2204047847. The next prime is 2204047873. The reversal of 2204047872 is 2787404022.

It can be written as a sum of positive squares in 2 ways, for example, as 1772073216 + 431974656 = 42096^2 + 20784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2204047873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41508 + ... + 78300.

Almost surely, 22204047872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425263842).

2204047872 is an abundant number, since it is smaller than the sum of its proper divisors (4646479812).

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

2204047872 is a wasteful number, since it uses less digits than its factorization.

2204047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36830 (or 36811 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2204047872 is about 46947.2882283950. The cubic root of 2204047872 is about 1301.3886289920.

The spelling of 2204047872 in words is "two billion, two hundred four million, forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 36793 59904 73586 110379 147172 220758 294344 331137 441516 478309 588688 662274 883032 956618 1177376 1324548 1434927 1766064 1913236 2354752 2649096 2869854 3532128 3826472 4304781 4709504 5298192 5739708 7064256 7652944 8609562 9419008 10596384 11479416 14128512 15305888 17219124 18838016 21192768 22958832 28257024 30611776 34438248 42385536 45917664 56514048 61223552 68876496 84771072 91835328 122447104 137752992 169542144 183670656 244894208 275505984 367341312 551011968 734682624 1102023936 2204047872