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222450052131 = 32231318203343
BaseRepresentation
bin1100111100101100001…
…1100110110000100011
3210021011221000111102200
43033023003212300203
512121034203132011
6250105300344243
722033343150016
oct3171303466043
9707157014380
10222450052131
118638228969a
12371420a5083
1317c914887a8
14aaa393537d
155bbe351856
hex33cb0e6c23

222450052131 has 24 divisors (see below), whose sum is σ = 337846519296. Its totient is φ = 140769348720.

The previous prime is 222450052117. The next prime is 222450052133. The reversal of 222450052131 is 131250054222.

222450052131 is a `hidden beast` number, since 2 + 2 + 24 + 500 + 5 + 2 + 131 = 666.

222450052131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222450052131 - 29 = 222450051619 is a prime.

It is a super-2 number, since 2×2224500521312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222450052095 and 222450052104.

It is not an unprimeable number, because it can be changed into a prime (222450052133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4074555 + ... + 4128788.

It is an arithmetic number, because the mean of its divisors is an integer number (14076938304).

Almost surely, 2222450052131 is an apocalyptic number.

222450052131 is a deficient number, since it is larger than the sum of its proper divisors (115396467165).

222450052131 is a wasteful number, since it uses less digits than its factorization.

222450052131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203503 (or 8203500 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 222450052131 in words is "two hundred twenty-two billion, four hundred fifty million, fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 131 207 393 1179 3013 9039 27117 8203343 24610029 73830087 188676889 566030667 1074637933 1698092001 3223913799 9671741397 24716672459 74150017377 222450052131