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2238833872 = 241129431012
BaseRepresentation
bin1000010101110001…
…1110010011010000
312210000202112201001
42011130132103100
514041120140442
61010053551344
7106323526312
oct20534362320
95700675631
102238833872
11a49844030
12525945554
13298aaa492
141734a97b2
15d183d2b7
hex8571e4d0

2238833872 has 120 divisors (see below), whose sum is σ = 5059185120. Its totient is φ = 950208000.

The previous prime is 2238833837. The next prime is 2238833879. The reversal of 2238833872 is 2783388322.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238833879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22166622 + ... + 22166722.

It is an arithmetic number, because the mean of its divisors is an integer number (42159876).

Almost surely, 22238833872 is an apocalyptic number.

2238833872 is a gapful number since it is divisible by the number (22) 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 2238833872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529592560).

2238833872 is an abundant number, since it is smaller than the sum of its proper divisors (2820351248).

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

2238833872 is a wasteful number, since it uses less digits than its factorization.

2238833872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 186 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 2238833872 is about 47316.3171855122. The cubic root of 2238833872 is about 1308.1994321626.

The spelling of 2238833872 in words is "two billion, two hundred thirty-eight million, eight hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 43 44 58 86 88 101 116 172 176 202 232 319 344 404 464 473 638 688 808 946 1111 1247 1276 1616 1892 2222 2494 2552 2929 3784 4343 4444 4988 5104 5858 7568 8686 8888 9976 10201 11716 13717 17372 17776 19952 20402 23432 27434 32219 34744 40804 46864 47773 54868 64438 69488 81608 95546 109736 112211 125947 128876 163216 191092 219472 224422 251894 257752 295829 382184 438643 448844 503788 515504 591658 764368 877286 897688 1007576 1183316 1385417 1754572 1795376 2015152 2366632 2770834 3254119 3509144 4733264 4825073 5541668 6508238 7018288 9650146 11083336 12720647 13016476 19300292 22166672 25441294 26032952 38600584 50882588 52065904 77201168 101765176 139927117 203530352 279854234 559708468 1119416936 2238833872