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22112147225249 is a prime number
BaseRepresentation
bin1010000011100011000101…
…01011100011101010100001
32220021220022120002200021222
411001301202223203222201
510344241134142201444
6115010102531224425
74441356423144224
oct501614253435241
986256276080258
1022112147225249
117055788712054
122591595448115
13c45221b59293
1456633b1515bb
152852c3700eee
hex141c62ae3aa1

22112147225249 has 2 divisors, whose sum is σ = 22112147225250. Its totient is φ = 22112147225248.

The previous prime is 22112147225213. The next prime is 22112147225257. The reversal of 22112147225249 is 94252274121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11072875173649 + 11039272051600 = 3327593^2 + 3322540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22112147225249 is a prime.

It is a super-2 number, since 2×221121472252492 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22112147275249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056073612624 + 11056073612625.

It is an arithmetic number, because the mean of its divisors is an integer number (11056073612625).

Almost surely, 222112147225249 is an apocalyptic number.

It is an amenable number.

22112147225249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112147225249 is an equidigital number, since it uses as much as digits as its factorization.

22112147225249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 322560, while the sum is 44.

The spelling of 22112147225249 in words is "twenty-two trillion, one hundred twelve billion, one hundred forty-seven million, two hundred twenty-five thousand, two hundred forty-nine".