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221202220212222 = 23234337277084633
BaseRepresentation
bin110010010010111010100111…
…110000100101111111111110
31002000012201121001112010210220
4302102322213300211333332
5212443134121333242342
62102242521435042210
764410222140463414
oct6222724760457776
91060181531463726
10221202220212222
1164533375641807
122098657bba0366
139657383b17b52
143c8a35d1c92b4
151a88e9d9c15ec
hexc92ea7c25ffe

221202220212222 has 32 divisors (see below), whose sum is σ = 472375216482048. Its totient is φ = 68888052399936.

The previous prime is 221202220212163. The next prime is 221202220212229. The reversal of 221202220212222 is 222212022202122.

It is a super-2 number, since 2×2212022202122222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221202220212192 and 221202220212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221202220212229) by changing a digit.

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, 18638536383 + ... + 18638548250.

It is an arithmetic number, because the mean of its divisors is an integer number (14761725515064).

Almost surely, 2221202220212222 is an apocalyptic number.

221202220212222 is an abundant number, since it is smaller than the sum of its proper divisors (251172996269826).

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

221202220212222 is a wasteful number, since it uses less digits than its factorization.

221202220212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37277084704.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221202220212222 its reverse (222212022202122), we get a palindrome (443414242414344).

It can be divided in two parts, 2212022202122 and 22, that multiplied together give a palindrome (48664488446684).

The spelling of 221202220212222 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 23 43 46 69 86 129 138 258 989 1978 2967 5934 37277084633 74554169266 111831253899 223662507798 857372946559 1602914639219 1714745893118 2572118839677 3205829278438 4808743917657 5144237679354 9617487835314 36867036702037 73734073404074 110601110106111 221202220212222