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22202004220420 = 22517428211524953
BaseRepresentation
bin1010000110001010011101…
…00100110010101000000100
32220121111020211212222200011
411003011032210302220010
510402224201040023140
6115115243202400004
74451020235044123
oct503051644625004
986544224788604
1022202004220420
11708a8a9639532
1225a6a92360004
13c5084215b5cb
1456a823065aba
152877d2230cea
hex14314e932a04

22202004220420 has 48 divisors (see below), whose sum is σ = 49367994622128. Its totient is φ = 8358200913920.

The previous prime is 22202004220391. The next prime is 22202004220447. The reversal of 22202004220420 is 2402240020222.

It can be written as a sum of positive squares in 8 ways, for example, as 2421160896064 + 19780843324356 = 1556008^2 + 4447566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22202004220391 and 22202004220400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13796664 + ... + 15321616.

It is an arithmetic number, because the mean of its divisors is an integer number (1028499887961).

Almost surely, 222202004220420 is an apocalyptic number.

22202004220420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202004220420 is an abundant number, since it is smaller than the sum of its proper divisors (27165990401708).

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

22202004220420 is a wasteful number, since it uses less digits than its factorization.

22202004220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567800 (or 1567798 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22202004220420 its reverse (2402240020222), we get a palindrome (24604244240642).

The spelling of 22202004220420 in words is "twenty-two trillion, two hundred two billion, four million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 42821 85642 171284 214105 428210 727957 856420 1455914 1524953 2911828 3049906 3639785 6099812 7279570 7624765 14559140 15249530 25924201 30499060 51848402 103696804 129621005 259242010 518484020 65300012413 130600024826 261200049652 326500062065 653000124130 1110100211021 1306000248260 2220200422042 4440400844084 5550501055105 11101002110210 22202004220420