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2226126636 = 223261836851
BaseRepresentation
bin1000010010101111…
…1111111100101100
312202010211221122200
42010223333330230
514024342023021
61004521341500
7106110523056
oct20453777454
95663757580
102226126636
11a42654988
12521637890
1329627b5c6
1417191c8d6
15d067d126
hex84afff2c

2226126636 has 18 divisors (see below), whose sum is σ = 5627153532. Its totient is φ = 742042200.

The previous prime is 2226126631. The next prime is 2226126653. The reversal of 2226126636 is 6366216222.

2226126636 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 12 + 6 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61836851 = 2226126636 / (2 + 2 + 2 + 6 + 1 + 2 + 6 + 6 + 3 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2226126636.

It is not an unprimeable number, because it can be changed into a prime (2226126631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30918390 + ... + 30918461.

Almost surely, 22226126636 is an apocalyptic number.

It is an amenable number.

2226126636 is an abundant number, since it is smaller than the sum of its proper divisors (3401026896).

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

2226126636 is a wasteful number, since it uses less digits than its factorization.

2226126636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61836861 (or 61836856 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2226126636 is about 47181.8464666232. The cubic root of 2226126636 is about 1305.7196963839.

The spelling of 2226126636 in words is "two billion, two hundred twenty-six million, one hundred twenty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61836851 123673702 185510553 247347404 371021106 556531659 742042212 1113063318 2226126636