Search a number
-
+
22673141363331 = 3217192410499907
BaseRepresentation
bin1010010011111000000001…
…00010010111001010000011
32222021112100012112122100200
411021330000202113022003
510432434043142111311
6120115521454420243
74530036402506214
oct511740042271203
988245305478320
1022673141363331
117251697237228
122662259201683
13c860b669b204
14585558c8b40b
15294ba8eab556
hex149f00897283

22673141363331 has 36 divisors (see below), whose sum is σ = 36597708797832. Its totient is φ = 13477532913792.

The previous prime is 22673141363273. The next prime is 22673141363357. The reversal of 22673141363331 is 13336314137622.

It is a happy number.

22673141363331 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 3 + 1 + 4 + 1 + 3 + 633 + 3 + 1 = 666.

It is not a de Polignac number, because 22673141363331 - 210 = 22673141362307 is a prime.

It is a super-2 number, since 2×226731413633312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22673141363371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205194721 + ... + 205305186.

It is an arithmetic number, because the mean of its divisors is an integer number (1016603022162).

Almost surely, 222673141363331 is an apocalyptic number.

22673141363331 is a deficient number, since it is larger than the sum of its proper divisors (13924567434501).

22673141363331 is a wasteful number, since it uses less digits than its factorization.

22673141363331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410499968 (or 410499946 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 22673141363331 in words is "twenty-two trillion, six hundred seventy-three billion, one hundred forty-one million, three hundred sixty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 361 969 1083 2907 3249 6137 18411 55233 410499907 1231499721 3694499163 6978498419 7799498233 20935495257 23398494699 62806485771 70195484097 132591469961 148190466427 397774409883 444571399281 1193323229649 1333714197843 2519237929259 7557713787777 22673141363331