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3223065944 = 2372101127641
BaseRepresentation
bin1100000000011100…
…0001010101011000
322022121202201021202
43000013001111120
523100101102234
61251453253332
7142604415500
oct30007012530
98277681252
103223065944
11140437816a
1275b494248
133c4986617
142280b0a00
1513ce5777e
hexc01c1558

3223065944 has 96 divisors (see below), whose sum is σ = 7166568960. Its totient is φ = 1354752000.

The previous prime is 3223065941. The next prime is 3223065959. The reversal of 3223065944 is 4495603223.

It is a super-2 number, since 2×32230659442 = 20776308158745222272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3223065898 and 3223065907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223065941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5027864 + ... + 5028504.

It is an arithmetic number, because the mean of its divisors is an integer number (74651760).

Almost surely, 23223065944 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 3223065944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583284480).

3223065944 is an abundant number, since it is smaller than the sum of its proper divisors (3943503016).

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

3223065944 is a wasteful number, since it uses less digits than its factorization.

3223065944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 3223065944 is about 56772.0524906401. The cubic root of 3223065944 is about 1477.1447789019.

The spelling of 3223065944 in words is "three billion, two hundred twenty-three million, sixty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 127 196 202 254 392 404 508 641 707 808 889 1016 1282 1414 1778 2564 2828 3556 4487 4949 5128 5656 6223 7112 8974 9898 12446 12827 17948 19796 24892 25654 31409 35896 39592 49784 51308 62818 64741 81407 89789 102616 125636 129482 162814 179578 251272 258964 325628 359156 453187 517928 569849 628523 651256 718312 906374 1139698 1257046 1812748 2279396 2514092 3172309 3625496 3988943 4558792 5028184 6344618 7977886 8222107 12689236 15955772 16444214 25378472 31911544 32888428 57554749 65776856 115109498 230218996 402883243 460437992 805766486 1611532972 3223065944