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20202212000 = 255329174157
BaseRepresentation
bin10010110100001001…
…010100101010100000
31221010221000200222002
4102310021110222200
5312333231241000
613140351303132
71313425653155
oct226411245240
957127020862
1020202212000
118627692983
123ab981aaa8
131b9c5579c9
14d990c222c
157d38b08d5
hex4b4254aa0

20202212000 has 96 divisors (see below), whose sum is σ = 51348744720. Its totient is φ = 7802188800.

The previous prime is 20202211999. The next prime is 20202212077. The reversal of 20202212000 is 21220202.

It can be written as a sum of positive squares in 8 ways, for example, as 14348944 + 20187863056 = 3788^2 + 142084^2 .

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 15 ways as a sum of consecutive naturals, for example, 28922 + ... + 203078.

Almost surely, 220202212000 is an apocalyptic number.

20202212000 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 20202212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674372360).

20202212000 is an abundant number, since it is smaller than the sum of its proper divisors (31146532720).

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

20202212000 is a wasteful number, since it uses less digits than its factorization.

20202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174211 (or 174193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20202212000 its reverse (21220202), we get a palindrome (20223432202).

The spelling of 20202212000 in words is "twenty billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 174157 348314 696628 870785 1393256 1741570 2786512 3483140 4353925 5050553 5573024 6966280 8707850 10101106 13932560 17415700 20202212 21769625 25252765 27865120 34831400 40404424 43539250 50505530 69662800 80808848 87078500 101011060 126263825 139325600 161617696 174157000 202022120 252527650 348314000 404044240 505055300 631319125 696628000 808088480 1010110600 1262638250 2020221200 2525276500 4040442400 5050553000 10101106000 20202212000