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23322144122332 = 221128115889118717
BaseRepresentation
bin1010100110110000111000…
…00111011010010111011100
310001120120112022201202222221
411103120130013122113130
511024102222343403312
6121334013424115124
74624653321106636
oct523303407322734
9101516468652887
1023322144122332
117481958393960
122747ba2a65aa4
1310023655b5cb3
145a8b25231a56
152a69e0d85207
hex15361c1da5dc

23322144122332 has 48 divisors (see below), whose sum is σ = 44685730625760. Its totient is φ = 10562494924800.

The previous prime is 23322144122327. The next prime is 23322144122339.

It is a happy number.

23322144122332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233221441223322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322144122339) 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, 196392238 + ... + 196510954.

It is an arithmetic number, because the mean of its divisors is an integer number (930952721370).

Almost surely, 223322144122332 is an apocalyptic number.

23322144122332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23322144122332 is a deficient number, since it is larger than the sum of its proper divisors (21363586503428).

23322144122332 is a wasteful number, since it uses less digits than its factorization.

23322144122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134902 (or 134900 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2332214 and 4122332, that added together give a palindrome (6454546).

The spelling of 23322144122332 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 281 562 1124 3091 6182 12364 15889 31778 63556 118717 174779 237434 349558 474868 699116 1305887 2611774 4464809 5223548 8929618 17859236 33359477 49112899 66718954 98225798 133437908 196451596 366954247 733908494 1467816988 1886294413 3772588826 7545177652 20749238543 41498477086 82996954172 530048730053 1060097460106 2120194920212 5830536030583 11661072061166 23322144122332