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532223012000 = 2553177826809
BaseRepresentation
bin1111011111010101111…
…01101010110010100000
31212212202112111022210102
413233222331222302200
532204443042341000
61044255550121532
753310660646631
oct7575275526240
91785675438712
10532223012000
11195795019329
12871944b02a8
133b25ac40894
141ba8c9b9888
15dc9e9c23d5
hex7beaf6aca0

532223012000 has 96 divisors (see below), whose sum is σ = 1384593996240. Its totient is φ = 200366284800.

The previous prime is 532223011997. The next prime is 532223012099. The reversal of 532223012000 is 210322235.

It can be written as a sum of positive squares in 8 ways, for example, as 220265016976 + 311957995024 = 469324^2 + 558532^2 .

It is a super-2 number, since 2×5322230120002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3845405 + ... + 3981404.

Almost surely, 2532223012000 is an apocalyptic number.

532223012000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532223012000 is an abundant number, since it is smaller than the sum of its proper divisors (852370984240).

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

532223012000 is a wasteful number, since it uses less digits than its factorization.

532223012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826851 (or 7826833 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 532223012000 its reverse (210322235), we get a palindrome (532433334235).

The spelling of 532223012000 in words is "five hundred thirty-two billion, two hundred twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 7826809 15653618 31307236 39134045 62614472 78268090 125228944 133055753 156536180 195670225 250457888 266111506 313072360 391340450 532223012 626144720 665278765 782680900 978351125 1064446024 1252289440 1330557530 1565361800 1956702250 2128892048 2661115060 3130723600 3326393825 3913404500 4257784096 5322230120 6261447200 6652787650 7826809000 10644460240 13305575300 15653618000 16631969125 21288920480 26611150600 31307236000 33263938250 53222301200 66527876500 106444602400 133055753000 266111506000 532223012000