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222123142116 = 223216229380189
BaseRepresentation
bin1100111011011110010…
…0100010101111100100
3210020100010212202012100
43032313210202233210
512114402011021431
6250013021452100
722022263361421
oct3166744425744
9706303782170
10222123142116
11862247a5327
1237070711030
1317c3b828305
14aa72358d48
155ba07c94e6
hex33b7922be4

222123142116 has 36 divisors (see below), whose sum is σ = 561514016700. Its totient is φ = 74036290368.

The previous prime is 222123142079. The next prime is 222123142117. The reversal of 222123142116 is 611241321222.

222123142116 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 231 + 421 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150191902116 + 71931240000 = 387546^2 + 268200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222123142116.

It is not an unprimeable number, because it can be changed into a prime (222123142117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394150 + ... + 774338.

It is an arithmetic number, because the mean of its divisors is an integer number (15597611575).

Almost surely, 2222123142116 is an apocalyptic number.

It is an amenable number.

222123142116 is an abundant number, since it is smaller than the sum of its proper divisors (339390874584).

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

222123142116 is a wasteful number, since it uses less digits than its factorization.

222123142116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396428 (or 396423 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 222123142116 its reverse (611241321222), we get a palindrome (833364463338).

The spelling of 222123142116 in words is "two hundred twenty-two billion, one hundred twenty-three million, one hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 16229 32458 48687 64916 97374 146061 194748 292122 380189 584244 760378 1140567 1520756 2281134 3421701 4562268 6843402 13686804 6170087281 12340174562 18510261843 24680349124 37020523686 55530785529 74041047372 111061571058 222123142116