Search a number
-
+
22324311342322 = 2118312225800297
BaseRepresentation
bin1010001001101110010001…
…01001011011110011110010
32221001011221122022112102221
411010313020221123303302
510411230142200423242
6115251351432431254
74462610150322343
oct504671051336362
987034848275387
1022324311342322
117127761839470
12260672684852a
13c5c234312662
145727069720ca
1528aa8ea13167
hex144dc8a5bcf2

22324311342322 has 16 divisors (see below), whose sum is σ = 36970820101152. Its totient is φ = 10025156242720.

The previous prime is 22324311342287. The next prime is 22324311342353.

It is a happy number.

22324311342322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223243113423223 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6112898323 + ... + 6112901974.

It is an arithmetic number, because the mean of its divisors is an integer number (2310676256322).

Almost surely, 222324311342322 is an apocalyptic number.

22324311342322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22324311342322 is a deficient number, since it is larger than the sum of its proper divisors (14646508758830).

22324311342322 is a wasteful number, since it uses less digits than its factorization.

22324311342322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225800393.

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

It can be divided in two parts, 2232431 and 1342322, that added together give a palindrome (3574753).

The spelling of 22324311342322 in words is "twenty-two trillion, three hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 11 22 83 166 913 1826 12225800297 24451600594 134483803267 268967606534 1014741424651 2029482849302 11162155671161 22324311342322