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23224322313264 = 2438312745900773
BaseRepresentation
bin1010100011111010101010…
…11110110100110000110000
310001020020000221201222222110
411101331111132310300300
511021001403003011024
6121221034551205320
74614621233335212
oct521752536646060
9101206027658873
1023224322313264
11744441a541956
122731042676840
13cc6076140237
145a40c55b25b2
152a41b7eaa629
hex151f557b4c30

23224322313264 has 80 divisors (see below), whose sum is σ = 61197115133952. Its totient is φ = 7587948420864.

The previous prime is 23224322313217. The next prime is 23224322313287. The reversal of 23224322313264 is 46231322342232.

It is a happy number.

It is a super-2 number, since 2×232243223132642 (a number of 28 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 22444419 + ... + 23456354.

Almost surely, 223224322313264 is an apocalyptic number.

23224322313264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23224322313264 is an abundant number, since it is smaller than the sum of its proper divisors (37972792820688).

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

23224322313264 is a wasteful number, since it uses less digits than its factorization.

23224322313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45900994 (or 45900988 counting only the distinct ones).

The product of its digits is 497664, while the sum is 39.

Adding to 23224322313264 its reverse (46231322342232), we get a palindrome (69455644655496).

The spelling of 23224322313264 in words is "twenty-three trillion, two hundred twenty-four billion, three hundred twenty-two million, three hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 127 166 249 254 332 381 498 508 664 762 996 1016 1328 1524 1992 2032 3048 3984 6096 10541 21082 31623 42164 63246 84328 126492 168656 252984 505968 45900773 91801546 137702319 183603092 275404638 367206184 550809276 734412368 1101618552 2203237104 3809764159 5829398171 7619528318 11429292477 11658796342 15239056636 17488194513 22858584954 23317592684 30478113272 34976389026 45717169908 46635185368 60956226544 69952778052 91434339816 93270370736 139905556104 182868679632 279811112208 483840048193 967680096386 1451520144579 1935360192772 2903040289158 3870720385544 5806080578316 7741440771088 11612161156632 23224322313264