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4456226268 = 2232139521851
BaseRepresentation
bin1000010011001110…
…01001110111011100
3102111120011202020100
410021213021313130
533111243220033
62014104221100
7215300204214
oct41147116734
912446152210
104456226268
11198747282a
12a4446a790
135602bb3a0
14303b93244
151b1343513
hex1099c9ddc

4456226268 has 36 divisors (see below), whose sum is σ = 12130839448. Its totient is φ = 1371146400.

The previous prime is 4456226251. The next prime is 4456226279. The reversal of 4456226268 is 8626226544.

4456226268 is a `hidden beast` number, since 4 + 4 + 562 + 26 + 2 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44562262682 = 39715905103226415648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4760458 + ... + 4761393.

Almost surely, 24456226268 is an apocalyptic number.

It is an amenable number.

4456226268 is an abundant number, since it is smaller than the sum of its proper divisors (7674613180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4456226268 is a wasteful number, since it uses less digits than its factorization.

4456226268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521874 (or 9521869 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4456226268 is about 66754.9718597799. The cubic root of 4456226268 is about 1645.5929247813.

The spelling of 4456226268 in words is "four billion, four hundred fifty-six million, two hundred twenty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9521851 19043702 28565553 38087404 57131106 85696659 114262212 123784063 171393318 247568126 342786636 371352189 495136252 742704378 1114056567 1485408756 2228113134 4456226268