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226742152540381 is a prime number
BaseRepresentation
bin110011100011100010000101…
…011101010011000011011101
31002201211100010110120102122121
4303203202011131103003131
5214204420412022243011
62122123523515142541
765521402625350102
oct6343420535230335
91081740113512577
10226742152540381
1166279896a53965
1221520194144a51
13996990207750a
143ddc543388aa9
151b3313c8e1e71
hexce38857530dd

226742152540381 has 2 divisors, whose sum is σ = 226742152540382. Its totient is φ = 226742152540380.

The previous prime is 226742152540369. The next prime is 226742152540403. The reversal of 226742152540381 is 183045251247622.

226742152540381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187875543832900 + 38866608707481 = 13706770^2 + 6234309^2 .

It is a cyclic number.

It is not a de Polignac number, because 226742152540381 - 217 = 226742152409309 is a prime.

It is a super-2 number, since 2×2267421525403812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226742152540081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113371076270190 + 113371076270191.

It is an arithmetic number, because the mean of its divisors is an integer number (113371076270191).

Almost surely, 2226742152540381 is an apocalyptic number.

It is an amenable number.

226742152540381 is a deficient number, since it is larger than the sum of its proper divisors (1).

226742152540381 is an equidigital number, since it uses as much as digits as its factorization.

226742152540381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 226742152540381 in words is "two hundred twenty-six trillion, seven hundred forty-two billion, one hundred fifty-two million, five hundred forty thousand, three hundred eighty-one".