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116225226 = 23313179739
BaseRepresentation
bin1101110110101…
…11010011001010
322002200212001000
412323113103022
5214223201401
615311035430
72610620025
oct673272312
9262625030
10116225226
115a673807
1232b0bb76
131b104a30
14116161bc
15a30c186
hex6ed74ca

116225226 has 64 divisors (see below), whose sum is σ = 294537600. Its totient is φ = 33654528.

The previous prime is 116225171. The next prime is 116225227. The reversal of 116225226 is 622522611.

116225226 is a `hidden beast` number, since 11 + 622 + 5 + 2 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116225226.

It is not an unprimeable number, because it can be changed into a prime (116225227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7065 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (4602150).

Almost surely, 2116225226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116225226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147268800).

116225226 is an abundant number, since it is smaller than the sum of its proper divisors (178312374).

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

116225226 is a wasteful number, since it uses less digits than its factorization.

116225226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9774 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 116225226 is about 10780.7803984684. The cubic root of 116225226 is about 488.0153319782.

Adding to 116225226 its reverse (622522611), we get a palindrome (738747837).

It can be divided in two parts, 11 and 6225226, that multiplied together give a palindrome (68477486).

The spelling of 116225226 in words is "one hundred sixteen million, two hundred twenty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 9739 11934 19478 29217 58434 87651 126607 165563 175302 253214 262953 331126 379821 496689 525906 759642 993378 1139463 1490067 2152319 2278926 2980134 3418389 4304638 4470201 6456957 6836778 8940402 12913914 19370871 38741742 58112613 116225226