Search a number
-
+
31322342232 = 233219127180287
BaseRepresentation
bin11101001010111101…
…010000001101011000
32222211220111211220100
4131022331100031120
51003122004422412
622220030255400
72156124342006
oct351275201530
988756454810
1031322342232
1112313711355
1260a1957560
132c5232361c
141731d03a76
15c34c7dedc
hex74af50358

31322342232 has 96 divisors (see below), whose sum is σ = 89999769600. Its totient is φ = 9813327552.

The previous prime is 31322342201. The next prime is 31322342273. The reversal of 31322342232 is 23224322313.

31322342232 is a `hidden beast` number, since 3 + 13 + 223 + 422 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31322342196 and 31322342205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83593 + ... + 263879.

It is an arithmetic number, because the mean of its divisors is an integer number (937497600).

Almost surely, 231322342232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44999884800).

31322342232 is an abundant number, since it is smaller than the sum of its proper divisors (58677427368).

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

31322342232 is a wasteful number, since it uses less digits than its factorization.

31322342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180445 (or 180438 counting only the distinct ones).

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

Adding to 31322342232 its reverse (23224322313), we get a palindrome (54546664545).

The spelling of 31322342232 in words is "thirty-one billion, three hundred twenty-two million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 127 152 171 228 254 342 381 456 508 684 762 1016 1143 1368 1524 2286 2413 3048 4572 4826 7239 9144 9652 14478 19304 21717 28956 43434 57912 86868 173736 180287 360574 540861 721148 1081722 1442296 1622583 2163444 3245166 3425453 4326888 6490332 6850906 10276359 12980664 13701812 20552718 22896449 27403624 30829077 41105436 45792898 61658154 68689347 82210872 91585796 123316308 137378694 183171592 206068041 246632616 274757388 412136082 435032531 549514776 824272164 870065062 1305097593 1648544328 1740130124 2610195186 3480260248 3915292779 5220390372 7830585558 10440780744 15661171116 31322342232