Search a number
-
+
23189557320 = 23325401160637
BaseRepresentation
bin10101100110001101…
…001001000001001000
32012212010020120100100
4111212031021001020
5334443011313240
614353024405400
71450441661556
oct254615110110
965763216310
1023189557320
11991a99a706
1245b2176860
13225742b267
14119db52bd6
1590aca4e30
hex566349048

23189557320 has 96 divisors (see below), whose sum is σ = 75554476920. Its totient is φ = 6168422400.

The previous prime is 23189557309. The next prime is 23189557357. The reversal of 23189557320 is 2375598132.

23189557320 is a `hidden beast` number, since 2 + 318 + 9 + 5 + 5 + 7 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20793063204 + 2396494116 = 144198^2 + 48954^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64042 + ... + 224678.

Almost surely, 223189557320 is an apocalyptic number.

23189557320 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 23189557320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777238460).

23189557320 is an abundant number, since it is smaller than the sum of its proper divisors (52364919600).

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

23189557320 is a wasteful number, since it uses less digits than its factorization.

23189557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161055 (or 161048 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 23189557320 in words is "twenty-three billion, one hundred eighty-nine million, five hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 12030 14436 16040 18045 24060 28872 36090 48120 72180 144360 160637 321274 481911 642548 803185 963822 1285096 1445733 1606370 1927644 2409555 2891466 3212740 3855288 4819110 5782932 6425480 7228665 9638220 11565864 14457330 19276440 28914660 57829320 64415437 128830874 193246311 257661748 322077185 386492622 515323496 579738933 644154370 772985244 966231555 1159477866 1288308740 1545970488 1932463110 2318955732 2576617480 2898694665 3864926220 4637911464 5797389330 7729852440 11594778660 23189557320