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22606012116 = 22332343211643
BaseRepresentation
bin10101000011011011…
…000101111011010100
32011100110012101211000
4111003123011323110
5332244114341431
614215101143300
71430124634602
oct250333057324
964313171730
1022606012116
119650560546
12446a85ab30
13219357423c
141146450872
158c49379e6
hex5436c5ed4

22606012116 has 96 divisors (see below), whose sum is σ = 62578897920. Its totient is φ = 7040059488.

The previous prime is 22606012103. The next prime is 22606012129. The reversal of 22606012116 is 61121060622.

22606012116 is a `hidden beast` number, since 2 + 26 + 0 + 601 + 21 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (22606012103) and next prime (22606012129).

It is a super-2 number, since 2×226060121162 (a number of 22 digits) contains 22 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 22606012116.

It is a congruent number.

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, 991 + ... + 212633.

It is an arithmetic number, because the mean of its divisors is an integer number (651863520).

Almost surely, 222606012116 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 22606012116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31289448960).

22606012116 is an abundant number, since it is smaller than the sum of its proper divisors (39972885804).

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

22606012116 is a wasteful number, since it uses less digits than its factorization.

22606012116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211722 (or 211714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 22606012116 its reverse (61121060622), we get a palindrome (83727072738).

The spelling of 22606012116 in words is "twenty-two billion, six hundred six million, twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 86 92 108 129 138 172 207 258 276 387 414 516 621 774 828 989 1161 1242 1548 1978 2322 2484 2967 3956 4644 5934 8901 11868 17802 26703 35604 53406 106812 211643 423286 634929 846572 1269858 1904787 2539716 3809574 4867789 5714361 7619148 9100649 9735578 11428722 14603367 18201298 19471156 22857444 27301947 29206734 36402596 43810101 54603894 58413468 81905841 87620202 109207788 131430303 163811682 175240404 209314927 245717523 262860606 327623364 418629854 491435046 525721212 627944781 837259708 982870092 1255889562 1883834343 2511779124 3767668686 5651503029 7535337372 11303006058 22606012116