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22300253316 = 22331189210913
BaseRepresentation
bin10100110001001100…
…101101110010000100
32010120010212020121000
4110301030231302010
5331132331101231
614124455453300
71416423011535
oct246114556204
963503766530
1022300253316
119503a03420
1243a4387230
13214510b183
1411179bc68c
158a7b8c6e6
hex53132dc84

22300253316 has 96 divisors (see below), whose sum is σ = 63780393600. Its totient is φ = 6681692160.

The previous prime is 22300253309. The next prime is 22300253321. The reversal of 22300253316 is 61335200322.

22300253316 is a `hidden beast` number, since 2 + 2 + 300 + 25 + 331 + 6 = 666.

It is a super-3 number, since 3×223002533163 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22300253316.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276 + ... + 211188.

It is an arithmetic number, because the mean of its divisors is an integer number (664379100).

Almost surely, 222300253316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300253316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31890196800).

22300253316 is an abundant number, since it is smaller than the sum of its proper divisors (41480140284).

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

22300253316 is a wasteful number, since it uses less digits than its factorization.

22300253316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211026 (or 211018 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 22300253316 its reverse (61335200322), we get a palindrome (83635453638).

The spelling of 22300253316 in words is "twenty-two billion, three hundred million, two hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 11748 17622 26433 35244 52866 105732 210913 421826 632739 843652 1265478 1898217 2320043 2530956 3796434 4640086 5694651 6960129 7592868 9280172 11389302 13920258 18771257 20880387 22778604 27840516 37542514 41760774 56313771 62641161 75085028 83521548 112627542 125282322 168941313 206483827 225255084 250564644 337882626 412967654 506823939 619451481 675765252 825935308 1013647878 1238902962 1858354443 2027295756 2477805924 3716708886 5575063329 7433417772 11150126658 22300253316