Search a number
-
+
22535406199997 is a prime number
BaseRepresentation
bin1010001111110111011101…
…11000011010010010111101
32221210100211012112101102222
411013323232320122102331
510423210002441344442
6115532342300055125
74514062242106235
oct507735670322275
987710735471388
1022535406199997
1171a9237337429
12263b619b344a5
13c761060bc172
1457ca10376cc5
152912e70128d2
hex147eeee1a4bd

22535406199997 has 2 divisors, whose sum is σ = 22535406199998. Its totient is φ = 22535406199996.

The previous prime is 22535406199993. The next prime is 22535406200039. The reversal of 22535406199997 is 79999160453522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20434793676196 + 2100612523801 = 4520486^2 + 1449349^2 .

It is a cyclic number.

It is not a de Polignac number, because 22535406199997 - 22 = 22535406199993 is a prime.

It is a super-3 number, since 3×225354061999973 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22535406199997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22535406199993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11267703099998 + 11267703099999.

It is an arithmetic number, because the mean of its divisors is an integer number (11267703099999).

Almost surely, 222535406199997 is an apocalyptic number.

It is an amenable number.

22535406199997 is a deficient number, since it is larger than the sum of its proper divisors (1).

22535406199997 is an equidigital number, since it uses as much as digits as its factorization.

22535406199997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 330674400, while the sum is 71.

The spelling of 22535406199997 in words is "twenty-two trillion, five hundred thirty-five billion, four hundred six million, one hundred ninety-nine thousand, nine hundred ninety-seven".