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22116467052 = 22322326710709
BaseRepresentation
bin10100100110001111…
…101000000101101100
32010002100000221020100
4110212033220011230
5330243303421202
614054332351100
71412031603531
oct244617500554
963070027210
1022116467052
11941a195049
124352915490
13211600cac4
1410db41ad88
1589698741c
hex5263e816c

22116467052 has 36 divisors (see below), whose sum is σ = 58336190640. Its totient is φ = 7051626912.

The previous prime is 22116467047. The next prime is 22116467081. The reversal of 22116467052 is 25076461122.

It is a happy number.

22116467052 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 646 + 7 + 0 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×221164670523 (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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 22116466998 and 22116467016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13354527 + ... + 13356182.

It is an arithmetic number, because the mean of its divisors is an integer number (1620449740).

Almost surely, 222116467052 is an apocalyptic number.

It is an amenable number.

22116467052 is an abundant number, since it is smaller than the sum of its proper divisors (36219723588).

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

22116467052 is a wasteful number, since it uses less digits than its factorization.

22116467052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26710742 (or 26710737 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22116467052 in words is "twenty-two billion, one hundred sixteen million, four hundred sixty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 26710709 53421418 80132127 106842836 160264254 240396381 320528508 480792762 614346307 961585524 1228692614 1843038921 2457385228 3686077842 5529116763 7372155684 11058233526 22116467052