Search a number
-
+
23000030032 = 247279736809
BaseRepresentation
bin10101011010111010…
…001001101101010000
32012100220121120210011
4111122322021231100
5334101001430112
614322134244304
71442651013100
oct253272115520
965326546704
1023000030032
119832a0aa91
12455a7b6694
13222709ca35
1411828d9200
158e9318aa7
hex55ae89b50

23000030032 has 60 divisors (see below), whose sum is σ = 51904529460. Its totient is φ = 9844520448.

The previous prime is 23000030023. The next prime is 23000030033. The reversal of 23000030032 is 23003000032.

It can be written as a sum of positive squares in 2 ways, for example, as 9808129296 + 13191900736 = 99036^2 + 114856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23000029994 and 23000030021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000030033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 606444 + ... + 643252.

It is an arithmetic number, because the mean of its divisors is an integer number (865075491).

Almost surely, 223000030032 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 23000030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952264730).

23000030032 is an abundant number, since it is smaller than the sum of its proper divisors (28904499428).

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

23000030032 is a wasteful number, since it uses less digits than its factorization.

23000030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37628 (or 37615 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 23000030032 its reverse (23003000032), we get a palindrome (46003030064).

The spelling of 23000030032 in words is "twenty-three billion, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 797 1594 3188 5579 6376 11158 12752 22316 36809 39053 44632 73618 78106 89264 147236 156212 257663 294472 312424 515326 588944 624848 1030652 1803641 2061304 3607282 4122608 7214564 14429128 28858256 29336773 58673546 117347092 205357411 234694184 410714822 469388368 821429644 1437501877 1642859288 2875003754 3285718576 5750007508 11500015016 23000030032