Search a number
-
+
20132204000 = 255313936209
BaseRepresentation
bin10010101111111110…
…010000110111100000
31220222001021221001012
4102233332100313200
5312212321012000
613125411000052
71311615624206
oct225776206740
956861257035
1020132204000
1185a1116927
123a9a299028
131b8abb565c
14d8da9b076
157cc682735
hex4aff90de0

20132204000 has 96 divisors (see below), whose sum is σ = 49822063200. Its totient is φ = 7994726400.

The previous prime is 20132203967. The next prime is 20132204011. The reversal of 20132204000 is 40223102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537896 + ... + 574104.

It is an arithmetic number, because the mean of its divisors is an integer number (518979825).

Almost surely, 220132204000 is an apocalyptic number.

20132204000 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 20132204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24911031600).

20132204000 is an abundant number, since it is smaller than the sum of its proper divisors (29689859200).

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

20132204000 is a wasteful number, since it uses less digits than its factorization.

20132204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36373 (or 36355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20132204000 its reverse (40223102), we get a palindrome (20172427102).

The spelling of 20132204000 in words is "twenty billion, one hundred thirty-two million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 695 800 1000 1112 1390 2000 2224 2780 3475 4000 4448 5560 6950 11120 13900 17375 22240 27800 34750 36209 55600 69500 72418 111200 139000 144836 181045 278000 289672 362090 556000 579344 724180 905225 1158688 1448360 1810450 2896720 3620900 4526125 5033051 5793440 7241800 9052250 10066102 14483600 18104500 20132204 25165255 28967200 36209000 40264408 50330510 72418000 80528816 100661020 125826275 144836000 161057632 201322040 251652550 402644080 503305100 629131375 805288160 1006610200 1258262750 2013220400 2516525500 4026440800 5033051000 10066102000 20132204000