Search a number
-
+
133022344 = 237131959163
BaseRepresentation
bin1111110110111…
…00001010001000
3100021022020100111
413323130022020
5233023203334
621111044104
73203446150
oct773341210
9307266314
10133022344
11690a6724
1238670634
1321736360
1413949760
15ba29064
hex7edc288

133022344 has 128 divisors (see below), whose sum is σ = 330624000. Its totient is φ = 48708864.

The previous prime is 133022341. The next prime is 133022359. The reversal of 133022344 is 443220331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133022341) 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, 816007 + ... + 816169.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2133022344 is an apocalyptic number.

133022344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133022344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312000).

133022344 is an abundant number, since it is smaller than the sum of its proper divisors (197601656).

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

133022344 is a wasteful number, since it uses less digits than its factorization.

133022344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 133022344 is about 11533.5312892453. The cubic root of 133022344 is about 510.4754556244.

Adding to 133022344 its reverse (443220331), we get a palindrome (576242675).

The spelling of 133022344 in words is "one hundred thirty-three million, twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 59 76 91 104 118 133 152 163 182 236 247 266 326 364 413 472 494 532 652 728 767 826 988 1064 1121 1141 1304 1534 1652 1729 1976 2119 2242 2282 3068 3097 3304 3458 4238 4484 4564 5369 6136 6194 6916 7847 8476 8968 9128 9617 10738 12388 13832 14573 14833 15694 16952 19234 21476 21679 24776 29146 29666 31388 38468 40261 42952 43358 58292 59332 62776 67319 76936 80522 86716 102011 116584 118664 125021 134638 161044 173432 182723 204022 250042 269276 281827 322088 365446 408044 500084 538552 563654 730892 816088 875147 1000168 1127308 1279061 1461784 1750294 2254616 2375399 2558122 3500588 4750798 5116244 7001176 9501596 10232488 16627793 19003192 33255586 66511172 133022344