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221300381 is a prime number
BaseRepresentation
bin11010011000011…
…00011010011101
3120102102020001102
431030030122131
5423123103011
633543122445
75325010421
oct1514143235
9512366042
10221300381
11103a11285
1262143425
1336b04593
1421568b81
151466573b
hexd30c69d

221300381 has 2 divisors, whose sum is σ = 221300382. Its totient is φ = 221300380.

The previous prime is 221300357. The next prime is 221300461. The reversal of 221300381 is 183003122.

221300381 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., 193905625 + 27394756 = 13925^2 + 5234^2 .

It is a cyclic number.

It is not a de Polignac number, because 221300381 - 210 = 221299357 is a prime.

It is a super-2 number, since 2×2213003812 = 97947717261490322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221320381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650190 + 110650191.

It is an arithmetic number, because the mean of its divisors is an integer number (110650191).

Almost surely, 2221300381 is an apocalyptic number.

It is an amenable number.

221300381 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300381 is an equidigital number, since it uses as much as digits as its factorization.

221300381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 221300381 is about 14876.1682230338. The cubic root of 221300381 is about 604.8681551370.

The spelling of 221300381 in words is "two hundred twenty-one million, three hundred thousand, three hundred eighty-one".