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20043232000 = 28531156941
BaseRepresentation
bin10010101010101010…
…110111001100000000
31220201211212200101221
4102222222313030000
5312022031411000
613112512004424
71306455442501
oct225252671400
956654780357
1020043232000
118555977950
123a74530714
131b756335bc
14d81d3aba8
157c495a61a
hex4aaab7300

20043232000 has 144 divisors (see below), whose sum is σ = 54470261664. Its totient is φ = 7288320000.

The previous prime is 20043231991. The next prime is 20043232007. The reversal of 20043232000 is 23234002.

It is a super-2 number, since 2×200432320002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20043232007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323530 + ... + 380470.

It is an arithmetic number, because the mean of its divisors is an integer number (378265706).

Almost surely, 220043232000 is an apocalyptic number.

20043232000 is a gapful number since it is divisible by the number (20) 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 20043232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235130832).

20043232000 is an abundant number, since it is smaller than the sum of its proper divisors (34427029664).

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

20043232000 is an equidigital number, since it uses as much as digits as its factorization.

20043232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56983 (or 56959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20043232000 its reverse (23234002), we get a palindrome (20066466002).

The spelling of 20043232000 in words is "twenty billion, forty-three million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2750 2816 3200 3520 4000 4400 5500 6400 7040 8000 8800 11000 14080 16000 17600 22000 32000 35200 44000 56941 70400 88000 113882 176000 227764 284705 352000 455528 569410 626351 911056 1138820 1252702 1423525 1822112 2277640 2505404 2847050 3131755 3644224 4555280 5010808 5694100 6263510 7117625 7288448 9110560 10021616 11388200 12527020 14235250 14576896 15658775 18221120 20043232 22776400 25054040 28470500 31317550 36442240 40086464 45552800 50108080 56941000 62635100 72884480 78293875 80172928 91105600 100216160 113882000 125270200 156587750 160345856 182211200 200432320 227764000 250540400 313175500 364422400 400864640 455528000 501080800 626351000 801729280 911056000 1002161600 1252702000 1822112000 2004323200 2505404000 4008646400 5010808000 10021616000 20043232000