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10222302312220 = 22529104916801391
BaseRepresentation
bin1001010011000001000010…
…1100101011011100011100
31100012020112211020210012111
42110300100230223130130
52314440233342442340
633424021051043404
72103352115666605
oct224602054533434
940166484223174
1010222302312220
113291288184509
121191198440564
13591c60b26a3b
14274a951a6dac
1512ad8b30eaea
hex94c10b2b71c

10222302312220 has 48 divisors (see below), whose sum is σ = 22228241616000. Its totient is φ = 3944159905280.

The previous prime is 10222302312203. The next prime is 10222302312317. The reversal of 10222302312220 is 2221320322201.

It is a super-2 number, since 2×102223023122202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222302312191 and 10222302312200.

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, 7792276 + ... + 9009115.

It is an arithmetic number, because the mean of its divisors is an integer number (463088367000).

Almost surely, 210222302312220 is an apocalyptic number.

10222302312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222302312220 is an abundant number, since it is smaller than the sum of its proper divisors (12005939303780).

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

10222302312220 is a wasteful number, since it uses less digits than its factorization.

10222302312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802478 (or 16802476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10222302312220 its reverse (2221320322201), we get a palindrome (12443622634421).

The spelling of 10222302312220 in words is "ten trillion, two hundred twenty-two billion, three hundred two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1049 2098 4196 5245 10490 20980 30421 60842 121684 152105 304210 608420 16801391 33602782 67205564 84006955 168013910 336027820 487240339 974480678 1948961356 2436201695 4872403390 9744806780 17624659159 35249318318 70498636636 88123295795 176246591590 352493183180 511115115611 1022230231222 2044460462444 2555575578055 5111151156110 10222302312220