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22313230401 = 3721147293599
BaseRepresentation
bin10100110001111110…
…001110000001000001
32010121001021112210210
4110301332032001001
5331144141333101
614130041544333
71416641220600
oct246176160101
963531245723
1022313230401
119510267290
1243a87a50a9
132147a02b17
1411195d9a37
158a8da27d6
hex531f8e041

22313230401 has 48 divisors (see below), whose sum is σ = 38557900800. Its totient is φ = 11344626720.

The previous prime is 22313230361. The next prime is 22313230403. The reversal of 22313230401 is 10403231322.

It is not a de Polignac number, because 22313230401 - 27 = 22313230273 is a prime.

It is a super-3 number, since 3×223132304013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22313230403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70801 + ... + 222798.

It is an arithmetic number, because the mean of its divisors is an integer number (803289600).

Almost surely, 222313230401 is an apocalyptic number.

22313230401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22313230401 is a deficient number, since it is larger than the sum of its proper divisors (16244670399).

22313230401 is a wasteful number, since it uses less digits than its factorization.

22313230401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293674 (or 293667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22313230401 its reverse (10403231322), we get a palindrome (32716461723).

The spelling of 22313230401 in words is "twenty-two billion, three hundred thirteen million, two hundred thirty thousand, four hundred one".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 517 539 987 1551 1617 2303 3619 6909 10857 25333 75999 293599 880797 2055193 3229589 6165579 9688767 13799153 14386351 22607123 41397459 43159053 67821369 96594071 151790683 158249861 289782213 455372049 474749583 676158497 1062534781 2028475491 3187604343 7437743467 22313230401