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7226116227 = 3211674872237
BaseRepresentation
bin1101011101011010…
…11100100010000011
3200122121012201221100
412232231130202003
5104244341204402
63153012425443
7344032655151
oct65655344203
920577181840
107226116227
113078a55090
121498018283
138b2105525
144c79ba3d1
152c45d171c
hex1aeb5c883

7226116227 has 48 divisors (see below), whose sum is σ = 11585463552. Its totient is φ = 4303316160.

The previous prime is 7226116111. The next prime is 7226116253.

It is a happy number.

7226116227 is a `hidden beast` number, since 7 + 2 + 26 + 1 + 1 + 622 + 7 = 666.

7226116227 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7226116227 - 226 = 7159007363 is a prime.

It is a super-2 number, since 2×72261162272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7226116191 and 7226116200.

It is not an unprimeable number, because it can be changed into a prime (7226116327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3229153 + ... + 3231389.

It is an arithmetic number, because the mean of its divisors is an integer number (241363824).

Almost surely, 27226116227 is an apocalyptic number.

7226116227 is a deficient number, since it is larger than the sum of its proper divisors (4359347325).

7226116227 is a wasteful number, since it uses less digits than its factorization.

7226116227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7226116227 is about 85006.5657875908. The cubic root of 7226116227 is about 1933.3106686767.

It can be divided in two parts, 72261 and 16227, that added together give a palindrome (88488).

The spelling of 7226116227 in words is "seven billion, two hundred twenty-six million, one hundred sixteen thousand, two hundred twenty-seven".

Divisors: 1 3 9 11 33 67 99 201 487 603 737 1461 2211 2237 4383 5357 6633 6711 16071 20133 24607 32629 48213 73821 97887 149879 221463 293661 358919 449637 1076757 1089419 1348911 1648669 3230271 3268257 4946007 9804771 11983609 14838021 35950827 72991073 107852481 218973219 656919657 802901803 2408705409 7226116227