Search a number
-
+
23312033440 = 255897092309
BaseRepresentation
bin10101101101100000…
…010110011010100000
32020011122200222222221
4111231200112122200
5340220340032230
614413121440424
71453460005033
oct255540263240
966148628887
1023312033440
119983042843
1246271a0114
132276911237
1411b211501a
159168e927a
hex56d8166a0

23312033440 has 96 divisors (see below), whose sum is σ = 55796202000. Its totient is φ = 9203048448.

The previous prime is 23312033401. The next prime is 23312033441. The reversal of 23312033440 is 4433021332.

It can be written as a sum of positive squares in 8 ways, for example, as 5874302736 + 17437730704 = 76644^2 + 132052^2 .

It is not an unprimeable number, because it can be changed into a prime (23312033441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10095006 + ... + 10097314.

Almost surely, 223312033440 is an apocalyptic number.

23312033440 is a gapful number since it is divisible by the number (20) 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 23312033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27898101000).

23312033440 is an abundant number, since it is smaller than the sum of its proper divisors (32484168560).

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

23312033440 is a wasteful number, since it uses less digits than its factorization.

23312033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 23312033440 its reverse (4433021332), we get a palindrome (27745054772).

The spelling of 23312033440 in words is "twenty-three billion, three hundred twelve million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 709 712 890 1418 1424 1780 2309 2836 2848 3545 3560 4618 5672 7090 7120 9236 11344 11545 14180 14240 18472 22688 23090 28360 36944 46180 56720 63101 73888 92360 113440 126202 184720 205501 252404 315505 369440 411002 504808 631010 822004 1009616 1027505 1262020 1637081 1644008 2019232 2055010 2524040 3274162 3288016 4110020 5048080 6548324 6576032 8185405 8220040 10096160 13096648 16370810 16440080 26193296 32741620 32880160 52386592 65483240 130966480 145700209 261932960 291400418 582800836 728501045 1165601672 1457002090 2331203344 2914004180 4662406688 5828008360 11656016720 23312033440