Search a number
-
+
221212002222 = 232277118137567
BaseRepresentation
bin1100111000000101000…
…0110100011110101110
3210010222122102001020100
43032001100310132232
512111020233032342
6245342352531530
721660560665041
oct3160120643656
9703878361210
10221212002222
11858a7454452
1236a57550ba6
1317b24b31293
14a9c733cc58
155b4a7ebe4c
hex33814347ae

221212002222 has 48 divisors (see below), whose sum is σ = 481443086592. Its totient is φ = 73406969280.

The previous prime is 221212002199. The next prime is 221212002227. The reversal of 221212002222 is 222200212122.

221212002222 is a `hidden beast` number, since 221 + 21 + 200 + 2 + 222 = 666.

It is a super-2 number, since 2×2212120022222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221212002195 and 221212002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212002227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5869683 + ... + 5907249.

It is an arithmetic number, because the mean of its divisors is an integer number (10030064304).

Almost surely, 2221212002222 is an apocalyptic number.

221212002222 is an abundant number, since it is smaller than the sum of its proper divisors (260231084370).

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

221212002222 is a wasteful number, since it uses less digits than its factorization.

221212002222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39033 (or 39030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221212002222 its reverse (222200212122), we get a palindrome (443412214344).

The spelling of 221212002222 in words is "two hundred twenty-one billion, two hundred twelve million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 277 554 831 1181 1662 2362 2493 3543 4986 7086 10629 21258 37567 75134 112701 225402 327137 338103 654274 676206 981411 1962822 2944233 5888466 10406059 20812118 31218177 44366627 62436354 88733254 93654531 133099881 187309062 266199762 399299643 798599286 12289555679 24579111358 36868667037 73737334074 110606001111 221212002222