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4446226444 = 221117101229257
BaseRepresentation
bin1000010010000010…
…00000100000001100
3102110212100201001111
410021001000200030
533101213221234
62013110021404
7215116205212
oct41101004014
912425321044
104446226444
111981862810
12a41047864
1355b1c992a
1430270ccb2
151b051a664
hex10904080c

4446226444 has 96 divisors (see below), whose sum is σ = 9151652160. Its totient is φ = 1867776000.

The previous prime is 4446226399. The next prime is 4446226453.

It is a happy number.

4446226444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4446226397 and 4446226406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17300364 + ... + 17300620.

It is an arithmetic number, because the mean of its divisors is an integer number (95329710).

Almost surely, 24446226444 is an apocalyptic number.

4446226444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4446226444 is an abundant number, since it is smaller than the sum of its proper divisors (4705425716).

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

4446226444 is a wasteful number, since it uses less digits than its factorization.

4446226444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The square root of 4446226444 is about 66680.0303239283. The cubic root of 4446226444 is about 1644.3610929664.

The spelling of 4446226444 in words is "four billion, four hundred forty-six million, two hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 101 187 202 229 257 374 404 458 514 748 916 1028 1111 1717 2222 2519 2827 3434 3893 4369 4444 5038 5654 6868 7786 8738 10076 11308 15572 17476 18887 23129 25957 37774 42823 46258 48059 51914 58853 75548 85646 92516 96118 103828 117706 171292 192236 235412 254419 285527 393193 441269 508838 571054 647383 786386 882538 1000501 1017676 1142108 1294766 1572772 1765076 2001002 2589532 4002004 4325123 4853959 5944153 8650246 9707918 11005511 11888306 17300492 19415836 22011022 23776612 44022044 65385683 101050601 130771366 202101202 261542732 404202404 1111556611 2223113222 4446226444