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2225468821 is a prime number
BaseRepresentation
bin1000010010100101…
…1111010110010101
312202002121112022011
42010221133112111
514024210000241
61004455304221
7106102113202
oct20451372625
95662545264
102225468821
11a42245734
1252137b071
132960ab074
141717caca9
15d059d281
hex84a5f595

2225468821 has 2 divisors, whose sum is σ = 2225468822. Its totient is φ = 2225468820.

The previous prime is 2225468797. The next prime is 2225468837. The reversal of 2225468821 is 1288645222.

2225468821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1701562500 + 523906321 = 41250^2 + 22889^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225468821 - 211 = 2225466773 is a prime.

It is a super-2 number, since 2×22254688212 = 9905422946486260082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2225468621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112734410 + 1112734411.

It is an arithmetic number, because the mean of its divisors is an integer number (1112734411).

Almost surely, 22225468821 is an apocalyptic number.

It is an amenable number.

2225468821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225468821 is an equidigital number, since it uses as much as digits as its factorization.

2225468821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 122880, while the sum is 40.

The square root of 2225468821 is about 47174.8748911961. The cubic root of 2225468821 is about 1305.5910713834.

The spelling of 2225468821 in words is "two billion, two hundred twenty-five million, four hundred sixty-eight thousand, eight hundred twenty-one".