Search a number
-
+
232990362792 = 23341132686639
BaseRepresentation
bin1101100011111101001…
…1101100110010101000
3211021101111110202110000
43120333103230302220
512304131013102132
6255011224023000
722555501256505
oct3307723546250
9737344422400
10232990362792
118a8a0a93040
12391a4001a60
1318c810a30c5
14b3c37444ac
1560d988b87c
hex363f4ecca8

232990362792 has 80 divisors (see below), whose sum is σ = 711915019200. Its totient is φ = 70603138080.

The previous prime is 232990362739. The next prime is 232990362797. The reversal of 232990362792 is 297263099232.

It is a happy number.

232990362792 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 9 + 0 + 3 + 627 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (232990362797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16336192 + ... + 16350447.

It is an arithmetic number, because the mean of its divisors is an integer number (8898937740).

Almost surely, 2232990362792 is an apocalyptic number.

232990362792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232990362792 is an abundant number, since it is smaller than the sum of its proper divisors (478924656408).

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

232990362792 is a wasteful number, since it uses less digits than its factorization.

232990362792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32686668 (or 32686655 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 232990362792 in words is "two hundred thirty-two billion, nine hundred ninety million, three hundred sixty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 32686639 65373278 98059917 130746556 196119834 261493112 294179751 359553029 392239668 588359502 719106058 784479336 882539253 1078659087 1176719004 1438212116 1765078506 2157318174 2353438008 2647617759 2876424232 3235977261 3530157012 4314636348 5295235518 6471954522 7060314024 8629272696 9707931783 10590471036 12943909044 19415863566 21180942072 25887818088 29123795349 38831727132 58247590698 77663454264 116495181396 232990362792