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3022199712 = 2532711631289
BaseRepresentation
bin1011010000100011…
…0001101110100000
321210121210122121200
42310020301232200
522142140342322
61215520121200
7134615162610
oct26410615640
97717718550
103022199712
111310a53414
12704166200
13392187c6c
14209544a40
1512a4cb8ac
hexb4231ba0

3022199712 has 144 divisors (see below), whose sum is σ = 9838221120. Its totient is φ = 862073856.

The previous prime is 3022199711. The next prime is 3022199767. The reversal of 3022199712 is 2179912203.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3022199711) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2343964 + ... + 2345252.

It is an arithmetic number, because the mean of its divisors is an integer number (68320980).

Almost surely, 23022199712 is an apocalyptic number.

3022199712 is a gapful number since it is divisible by the number (32) 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 3022199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919110560).

3022199712 is an abundant number, since it is smaller than the sum of its proper divisors (6816021408).

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

3022199712 is a wasteful number, since it uses less digits than its factorization.

3022199712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3022199712 is about 54974.5369421153. The cubic root of 3022199712 is about 1445.7983339336.

The spelling of 3022199712 in words is "three billion, twenty-two million, one hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1163 1289 2016 2326 2578 3489 3867 4652 5156 6978 7734 8141 9023 9304 10312 10467 11601 13956 15468 16282 18046 18608 20624 20934 23202 24423 27069 27912 30936 32564 36092 37216 41248 41868 46404 48846 54138 55824 61872 65128 72184 73269 81207 83736 92808 97692 108276 111648 123744 130256 144368 146538 162414 167472 185616 195384 216552 260512 288736 293076 324828 334944 371232 390768 433104 586152 649656 781536 866208 1172304 1299312 1499107 2344608 2598624 2998214 4497321 5996428 8994642 10493749 11992856 13491963 17989284 20987498 23985712 26983926 31481247 35978568 41974996 47971424 53967852 62962494 71957136 83949992 94443741 107935704 125924988 143914272 167899984 188887482 215871408 251849976 335799968 377774964 431742816 503699952 755549928 1007399904 1511099856 3022199712