Search a number
-
+
22202302212133 = 353397158428313
BaseRepresentation
bin1010000110001011000000…
…10101100010100000100101
32220121112000121121112110021
411003011200111202200211
510402230303331242013
6115115332525355141
74451030513660461
oct503054025424045
986545017545407
1022202302212133
11708aa4187107a
1225a6b56108ab1
13c5088bb05274
1456a8508754a1
152877ed494a8d
hex143160562825

22202302212133 has 8 divisors (see below), whose sum is σ = 22321282016088. Its totient is φ = 22083639266304.

The previous prime is 22202302212121. The next prime is 22202302212137. The reversal of 22202302212133 is 33121220320222.

It can be written as a sum of positive squares in 4 ways, for example, as 1844862078049 + 20357440134084 = 1358257^2 + 4511922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22202302212133 is a prime.

It is a super-3 number, since 3×222023022121333 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22202302212098 and 22202302212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202302212137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79074016 + ... + 79354297.

It is an arithmetic number, because the mean of its divisors is an integer number (2790160252011).

Almost surely, 222202302212133 is an apocalyptic number.

It is an amenable number.

22202302212133 is a deficient number, since it is larger than the sum of its proper divisors (118979803955).

22202302212133 is a wasteful number, since it uses less digits than its factorization.

22202302212133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158429063.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22202302212133 its reverse (33121220320222), we get a palindrome (55323522532355).

The spelling of 22202302212133 in words is "twenty-two trillion, two hundred two billion, three hundred two million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 353 397 140141 158428313 55925194489 62896040261 22202302212133