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223213231222122 = 232310871488028687
BaseRepresentation
bin110010110000001011100001…
…010110110010110101101010
31002021022222100212112020202110
4302300023201112302311222
5213224111144143101442
62110422424240143150
765005423645151241
oct6260134126626552
91067288325466673
10223213231222122
1165139221960279
1221050277607ab6
139771bc065cc9b
143d198141b3958
151ac144d4b569c
hexcb02e15b2d6a

223213231222122 has 32 divisors (see below), whose sum is σ = 466264861212672. Its totient is φ = 71103962731824.

The previous prime is 223213231222057. The next prime is 223213231222129. The reversal of 223213231222122 is 221222132312322.

It is a super-3 number, since 3×2232132312221223 (a number of 44 digits) contains 333 as substring.

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 223213231222122.

It is not an unprimeable number, because it can be changed into a prime (223213231222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743864338 + ... + 744164349.

It is an arithmetic number, because the mean of its divisors is an integer number (14570776912896).

Almost surely, 2223213231222122 is an apocalyptic number.

223213231222122 is an abundant number, since it is smaller than the sum of its proper divisors (243051629990550).

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

223213231222122 is a wasteful number, since it uses less digits than its factorization.

223213231222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488029802.

The product of its digits is 13824, while the sum is 30.

Adding to 223213231222122 its reverse (221222132312322), we get a palindrome (444435363534444).

The spelling of 223213231222122 in words is "two hundred twenty-three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 46 69 138 1087 2174 3261 6522 25001 50002 75003 150006 1488028687 2976057374 4464086061 8928172122 34224659801 68449319602 102673979403 205347958806 1617487182769 3234974365538 4852461548307 9704923096614 37202205203687 74404410407374 111606615611061 223213231222122