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32024230020 = 22325904919661
BaseRepresentation
bin11101110100110010…
…101111100010000100
310001122211020102221100
4131310302233202010
51011041200330040
622413422220100
72212406315046
oct356462574204
9101584212840
1032024230020
1112643930002
126258a24630
133034874043
14179b20da96
15c766c5b30
hex774caf884

32024230020 has 72 divisors (see below), whose sum is σ = 97155840600. Its totient is φ = 8538416640.

The previous prime is 32024230013. The next prime is 32024230033. The reversal of 32024230020 is 2003242023.

32024230020 is a `hidden beast` number, since 320 + 2 + 42 + 300 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8204011776 + 23820218244 = 90576^2 + 154338^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 32024229975 and 32024230002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618990 + ... + 1638650.

It is an arithmetic number, because the mean of its divisors is an integer number (1349386675).

Almost surely, 232024230020 is an apocalyptic number.

32024230020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32024230020 is an abundant number, since it is smaller than the sum of its proper divisors (65131610580).

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

32024230020 is a wasteful number, since it uses less digits than its factorization.

32024230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 32024230020 its reverse (2003242023), we get a palindrome (34027472043).

The spelling of 32024230020 in words is "thirty-two billion, twenty-four million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 9049 18098 19661 27147 36196 39322 45245 54294 58983 78644 81441 90490 98305 108588 117966 135735 162882 176949 180980 196610 235932 271470 294915 325764 353898 393220 407205 542940 589830 707796 814410 884745 1179660 1628820 1769490 3538980 177912389 355824778 533737167 711649556 889561945 1067474334 1601211501 1779123890 2134948668 2668685835 3202423002 3558247780 5337371670 6404846004 8006057505 10674743340 16012115010 32024230020