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26222113332 = 223219235233187
BaseRepresentation
bin11000011010111101…
…011011001000110100
32111200110112101010200
4120122331123020310
5412200330111312
620013554520500
71615544200002
oct303275331064
974613471120
1026222113332
1110136776948
1250b9896130
13261b7a0cbc
1413aa7d1a72
15a3712a0dc
hex61af5b234

26222113332 has 144 divisors (see below), whose sum is σ = 72967964160. Its totient is φ = 7903013184.

The previous prime is 26222113331. The next prime is 26222113349. The reversal of 26222113332 is 23331122262.

26222113332 is a `hidden beast` number, since 2 + 622 + 2 + 1 + 1 + 3 + 3 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26222113296 and 26222113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26222113331) 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, 8226243 + ... + 8229429.

Almost surely, 226222113332 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 26222113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483982080).

26222113332 is an abundant number, since it is smaller than the sum of its proper divisors (46745850828).

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

26222113332 is a wasteful number, since it uses less digits than its factorization.

26222113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3757 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 26222113332 its reverse (23331122262), we get a palindrome (49553235594).

The spelling of 26222113332 in words is "twenty-six billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 523 684 828 874 1046 1311 1569 1748 2092 2622 3138 3187 3933 4707 5244 6276 6374 7866 9414 9561 9937 12029 12748 15732 18828 19122 19874 24058 28683 29811 36087 38244 39748 48116 57366 59622 60553 72174 73301 89433 108261 114732 119244 121106 144348 146602 178866 181659 216522 219903 228551 242212 293204 357732 363318 433044 439806 457102 544977 659709 685653 726636 879612 914204 1089954 1319418 1371306 1392719 1666801 2056959 2179908 2638836 2742612 2785438 3333602 4113918 4178157 5000403 5570876 6667204 8227836 8356314 10000806 12534471 15001209 16712628 20001612 25068942 30002418 31669219 38336423 50137884 60004836 63338438 76672846 95007657 115009269 126676876 153345692 190015314 230018538 285022971 345027807 380030628 460037076 570045942 690055614 728392037 1140091884 1380111228 1456784074 2185176111 2913568148 4370352222 6555528333 8740704444 13111056666 26222113332