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133220223234 = 23472151111143
BaseRepresentation
bin111110000010010001…
…0110100100100000010
3110201212100100112110000
41330010202310210002
54140313334120414
6141111151420430
712424215133200
oct1740442644402
9421770315400
10133220223234
115155338554a
122199b224716
13c7410a4277
14663b03a070
1536ea908b09
hex1f048b4902

133220223234 has 120 divisors (see below), whose sum is σ = 349551436608. Its totient is φ = 37810508400.

The previous prime is 133220223233. The next prime is 133220223251. The reversal of 133220223234 is 432322022331.

133220223234 is a `hidden beast` number, since 1 + 332 + 2 + 0 + 2 + 2 + 323 + 4 = 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 junction number, because it is equal to n+sod(n) for n = 133220223198 and 133220223207.

It is not an unprimeable number, because it can be changed into a prime (133220223233) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1143067 + ... + 1254209.

Almost surely, 2133220223234 is an apocalyptic number.

133220223234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220223234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174775718304).

133220223234 is an abundant number, since it is smaller than the sum of its proper divisors (216331213374).

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

133220223234 is a wasteful number, since it uses less digits than its factorization.

133220223234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111322 (or 111306 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133220223234 its reverse (432322022331), we get a palindrome (565542245565).

The spelling of 133220223234 in words is "one hundred thirty-three billion, two hundred twenty million, two hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 151 162 189 294 302 378 441 453 567 882 906 1057 1134 1323 1359 2114 2646 2718 3171 3969 4077 6342 7399 7938 8154 9513 12231 14798 19026 22197 24462 28539 44394 57078 66591 85617 111143 133182 171234 199773 222286 333429 399546 599319 666858 778001 1000287 1198638 1556002 2000574 2334003 3000861 4668006 5446007 6001722 7002009 9002583 10892014 14004018 16338021 16782593 18005166 21006027 32676042 33565186 42012054 49014063 50347779 63018081 98028126 100695558 117478151 126036162 147042189 151043337 234956302 294084378 302086674 352434453 441126567 453130011 704868906 822347057 882253134 906260022 1057303359 1359390033 1644694114 2114606718 2467041171 2718780066 3171910077 4934082342 6343820154 7401123513 9515730231 14802247026 19031460462 22203370539 44406741078 66610111617 133220223234