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20010023200 = 255229862501
BaseRepresentation
bin10010101000101100…
…001011100100100000
31220122112101111111101
4102220230023210200
5311440031220300
613105324124144
71305603251026
oct225054134440
956575344441
1020010023200
118539155662
123a65396654
131b6b7a6c1b
14d7b774716
157c1a9ab6a
hex4a8b0b920

20010023200 has 72 divisors (see below), whose sum is σ = 50533992180. Its totient is φ = 7728000000.

The previous prime is 20010023197. The next prime is 20010023219. The reversal of 20010023200 is 232001002.

It can be written as a sum of positive squares in 6 ways, for example, as 4901680144 + 15108343056 = 70012^2 + 122916^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408051 + ... + 454450.

Almost surely, 220010023200 is an apocalyptic number.

20010023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010023200 is an abundant number, since it is smaller than the sum of its proper divisors (30523968980).

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

20010023200 is a wasteful number, since it uses less digits than its factorization.

20010023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862550 (or 862537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20010023200 its reverse (232001002), we get a palindrome (20242024202).

The spelling of 20010023200 in words is "twenty billion, ten million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 862501 1725002 3450004 4312505 6900008 8625010 13800016 17250020 21562525 25012529 27600032 34500040 43125050 50025058 69000080 86250100 100050116 125062645 138000160 172500200 200100232 250125290 345000400 400200464 500250580 625313225 690000800 800400928 1000501160 1250626450 2001002320 2501252900 4002004640 5002505800 10005011600 20010023200