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2226257153 is a prime number
BaseRepresentation
bin1000010010110001…
…1111110100000001
312202011002120200122
42010230133310001
514024410212103
61004524230025
7106111605431
oct20454376401
95664076618
102226257153
11a42733a4a
1252169b315
132962c5b33
141719542c1
15d06a6b38
hex84b1fd01

2226257153 has 2 divisors, whose sum is σ = 2226257154. Its totient is φ = 2226257152.

The previous prime is 2226257149. The next prime is 2226257179. The reversal of 2226257153 is 3517526222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2222462449 + 3794704 = 47143^2 + 1948^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226257153 - 22 = 2226257149 is a prime.

It is a super-2 number, since 2×22262571532 = 9912441822567330818, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2226257053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113128576 + 1113128577.

It is an arithmetic number, because the mean of its divisors is an integer number (1113128577).

Almost surely, 22226257153 is an apocalyptic number.

It is an amenable number.

2226257153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226257153 is an equidigital number, since it uses as much as digits as its factorization.

2226257153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50400, while the sum is 35.

The square root of 2226257153 is about 47183.2295736525. The cubic root of 2226257153 is about 1305.7452138431.

The spelling of 2226257153 in words is "two billion, two hundred twenty-six million, two hundred fifty-seven thousand, one hundred fifty-three".