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226072252251 = 3259425748121
BaseRepresentation
bin1101001010001011110…
…1001100111101011011
3210121112100211022212200
43102202331030331123
512200443444033001
6251504532541243
722222165303146
oct3224275147533
9717470738780
10226072252251
118797099020a
1237993181823
131841aa3c581
14ad28a2305d
155d3234b086
hex34a2f4cf5b

226072252251 has 12 divisors (see below), whose sum is σ = 332083535160. Its totient is φ = 148160345760.

The previous prime is 226072252223. The next prime is 226072252253. The reversal of 226072252251 is 152252270622.

226072252251 is a `hidden beast` number, since 2 + 2 + 60 + 7 + 22 + 522 + 51 = 666.

It is not a de Polignac number, because 226072252251 - 214 = 226072235867 is a prime.

It is a super-2 number, since 2×2260722522512 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226072252253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212873530 + ... + 212874591.

It is an arithmetic number, because the mean of its divisors is an integer number (27673627930).

Almost surely, 2226072252251 is an apocalyptic number.

226072252251 is a deficient number, since it is larger than the sum of its proper divisors (106011282909).

226072252251 is a wasteful number, since it uses less digits than its factorization.

226072252251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425748186 (or 425748183 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 226072252251 in words is "two hundred twenty-six billion, seventy-two million, two hundred fifty-two thousand, two hundred fifty-one".

Divisors: 1 3 9 59 177 531 425748121 1277244363 3831733089 25119139139 75357417417 226072252251