Search a number
-
+
223620536761 is a prime number
BaseRepresentation
bin1101000001000011010…
…0101001100110111001
3210101012111111021111021
43100100310221212321
512130433324134021
6250421352102441
722104345125446
oct3202064514671
9711174437437
10223620536761
1186922a66066
123740a094a21
1318119b1774b
14ab751809cd
155c3beabc41
hex3410d299b9

223620536761 has 2 divisors, whose sum is σ = 223620536762. Its totient is φ = 223620536760.

The previous prime is 223620536743. The next prime is 223620536773. The reversal of 223620536761 is 167635026322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222954896761 + 665640000 = 472181^2 + 25800^2 .

It is a cyclic number.

It is not a de Polignac number, because 223620536761 - 215 = 223620503993 is a prime.

It is a super-2 number, since 2×2236205367612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (223620536701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111810268380 + 111810268381.

It is an arithmetic number, because the mean of its divisors is an integer number (111810268381).

Almost surely, 2223620536761 is an apocalyptic number.

It is an amenable number.

223620536761 is a deficient number, since it is larger than the sum of its proper divisors (1).

223620536761 is an equidigital number, since it uses as much as digits as its factorization.

223620536761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 223620536761 in words is "two hundred twenty-three billion, six hundred twenty million, five hundred thirty-six thousand, seven hundred sixty-one".