Search a number
-
+
2321233632 = 253314391867
BaseRepresentation
bin1000101001011011…
…0011011011100000
312222202210212221000
42022112303123200
514223213434012
61022200032000
7111344105664
oct21226633340
95882725830
102321233632
11a91304203
12549462600
132acb9ac33
141803d88a4
15d8bb7ddc
hex8a5b36e0

2321233632 has 96 divisors (see below), whose sum is σ = 6778598400. Its totient is φ = 772792704.

The previous prime is 2321233627. The next prime is 2321233661. The reversal of 2321233632 is 2363321232.

2321233632 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 23 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23212336322 = 10776251148655822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 2321233596 and 2321233605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242363 + ... + 1244229.

It is an arithmetic number, because the mean of its divisors is an integer number (70610400).

Almost surely, 22321233632 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 2321233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389299200).

2321233632 is an abundant number, since it is smaller than the sum of its proper divisors (4457364768).

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

2321233632 is a wasteful number, since it uses less digits than its factorization.

2321233632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3311 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 2321233632 is about 48179.1825584453. The cubic root of 2321233632 is about 1324.0557900083.

Adding to 2321233632 its reverse (2363321232), we get a palindrome (4684554864).

The spelling of 2321233632 in words is "two billion, three hundred twenty-one million, two hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1439 1867 2878 3734 4317 5601 5756 7468 8634 11202 11512 12951 14936 16803 17268 22404 23024 25902 29872 33606 34536 38853 44808 46048 50409 51804 59744 67212 69072 77706 89616 100818 103608 134424 138144 155412 179232 201636 207216 268848 310824 403272 414432 537696 621648 806544 1243296 1613088 2686613 5373226 8059839 10746452 16119678 21492904 24179517 32239356 42985808 48359034 64478712 72538551 85971616 96718068 128957424 145077102 193436136 257914848 290154204 386872272 580308408 773744544 1160616816 2321233632