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116322236226 = 232729157920161
BaseRepresentation
bin110110001010101011…
…0000111011101000010
3102010020200210212001100
41230111112013131002
53401211443024401
6125234313115230
711255400460020
oct1542526073502
9363220725040
10116322236226
1145371962829
121a6640b8b16
13ac7a27a9a1
1458b6b13710
15305c182b86
hex1b15587742

116322236226 has 96 divisors (see below), whose sum is σ = 298171785600. Its totient is φ = 32066979840.

The previous prime is 116322236203. The next prime is 116322236227. The reversal of 116322236226 is 622632223611.

116322236226 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 2 + 23 + 622 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116322236227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5759586 + ... + 5779746.

It is an arithmetic number, because the mean of its divisors is an integer number (3105956100).

Almost surely, 2116322236226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116322236226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149085892800).

116322236226 is an abundant number, since it is smaller than the sum of its proper divisors (181849549374).

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

116322236226 is a wasteful number, since it uses less digits than its factorization.

116322236226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21784 (or 21781 counting only the distinct ones).

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

Adding to 116322236226 its reverse (622632223611), we get a palindrome (738954459837).

The spelling of 116322236226 in words is "one hundred sixteen billion, three hundred twenty-two million, two hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1579 1827 3158 3654 4737 9474 11053 14211 20161 22106 28422 33159 40322 45791 60483 66318 91582 99477 120966 137373 141127 181449 198954 274746 282254 320537 362898 412119 423381 584669 641074 824238 846762 961611 1169338 1270143 1754007 1923222 2540286 2884833 3508014 4092683 5262021 5769666 8185366 10524042 12278049 24556098 31834219 36834147 63668438 73668294 95502657 191005314 222839533 286507971 445679066 573015942 668518599 923192351 1337037198 1846384702 2005555797 2769577053 4011111594 5539154106 6462346457 8308731159 12924692914 16617462318 19387039371 38774078742 58161118113 116322236226