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2002023144 = 2332113497243
BaseRepresentation
bin111011101010100…
…0111001011101000
312011112011022110100
41313111013023220
513100004220034
6530354145400
7100416626112
oct16725071350
95145138410
102002023144
119380a9690
1247a582260
1325ba051a4
1414dc643b2
15bab62099
hex775472e8

2002023144 has 96 divisors (see below), whose sum is σ = 5932836000. Its totient is φ = 604851840.

The previous prime is 2002023137. The next prime is 2002023151. The reversal of 2002023144 is 4413202002.

It is an interprime number because it is at equal distance from previous prime (2002023137) and next prime (2002023151).

It is a super-3 number, since 3×20020231443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272787 + ... + 280029.

It is an arithmetic number, because the mean of its divisors is an integer number (61800375).

Almost surely, 22002023144 is an apocalyptic number.

2002023144 is a gapful number since it is divisible by the number (24) 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 2002023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966418000).

2002023144 is an abundant number, since it is smaller than the sum of its proper divisors (3930812856).

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

2002023144 is a wasteful number, since it uses less digits than its factorization.

2002023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002023144 is about 44743.9732701511. The cubic root of 2002023144 is about 1260.3457403442.

Adding to 2002023144 its reverse (4413202002), we get a palindrome (6415225146).

The spelling of 2002023144 in words is "two billion, two million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 349 396 698 792 1047 1396 2094 2792 3141 3839 4188 6282 7243 7678 8376 11517 12564 14486 15356 21729 23034 25128 28972 30712 34551 43458 46068 57944 65187 69102 79673 86916 92136 130374 138204 159346 173832 239019 260748 276408 318692 478038 521496 637384 717057 956076 1434114 1912152 2527807 2868228 5055614 5736456 7583421 10111228 15166842 20222456 22750263 27805877 30333684 45500526 55611754 60667368 83417631 91001052 111223508 166835262 182002104 222447016 250252893 333670524 500505786 667341048 1001011572 2002023144