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2225404381 is a prime number
BaseRepresentation
bin1000010010100100…
…1111100111011101
312202002111020220111
42010221033213131
514024200420011
61004454050021
7106101424264
oct20451174735
95662436814
102225404381
11a42201282
12521349911
13296087935
141717b15db
15d0589121
hex84a4f9dd

2225404381 has 2 divisors, whose sum is σ = 2225404382. Its totient is φ = 2225404380.

The previous prime is 2225404339. The next prime is 2225404417. The reversal of 2225404381 is 1834045222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2079816025 + 145588356 = 45605^2 + 12066^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225404381 - 27 = 2225404253 is a prime.

It is a super-2 number, since 2×22254043812 = 9904849317947986322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2225404681) 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, 1112702190 + 1112702191.

It is an arithmetic number, because the mean of its divisors is an integer number (1112702191).

Almost surely, 22225404381 is an apocalyptic number.

It is an amenable number.

2225404381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225404381 is an equidigital number, since it uses as much as digits as its factorization.

2225404381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2225404381 is about 47174.1918955693. The cubic root of 2225404381 is about 1305.5784698288.

The spelling of 2225404381 in words is "two billion, two hundred twenty-five million, four hundred four thousand, three hundred eighty-one".