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202221000120020 = 22572347496153107
BaseRepresentation
bin101101111110101100111110…
…111000001101011011010100
3222112000010202012012020000212
4231332230332320031123110
5203001142102012320040
61554031013414024552
760410661616664360
oct5576547670153324
9875003665166025
10202221000120020
115948549874a322
121a81b94b948158
1388ab487799a2b
1437d179761a2a0
15185a373e63d65
hexb7eb3ee0d6d4

202221000120020 has 48 divisors (see below), whose sum is σ = 485332546608000. Its totient is φ = 69332607709824.

The previous prime is 202221000119987. The next prime is 202221000120071. The reversal of 202221000120020 is 20021000122202.

It is a super-2 number, since 2×2022210001200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202221000119977 and 202221000120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29788307 + ... + 35941413.

It is an arithmetic number, because the mean of its divisors is an integer number (10111094721000).

Almost surely, 2202221000120020 is an apocalyptic number.

202221000120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221000120020 is an abundant number, since it is smaller than the sum of its proper divisors (283111546487980).

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

202221000120020 is a wasteful number, since it uses less digits than its factorization.

202221000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387872 (or 6387870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202221000120020 its reverse (20021000122202), we get a palindrome (222242000242222).

The spelling of 202221000120020 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 234749 469498 938996 1173745 1643243 2347490 3286486 4694980 6153107 6572972 8216215 12306214 16432430 24612428 30765535 32864860 43071749 61531070 86143498 123062140 172286996 215358745 430717490 861434980 1444435715143 2888871430286 5777742860572 7222178575715 10111050006001 14444357151430 20222100012002 28888714302860 40444200024004 50555250030005 101110500060010 202221000120020