Search a number
-
+
32023241300 = 22522953892341
BaseRepresentation
bin11101110100101110…
…111110001001010100
310001122202101012200002
4131310232332021110
51011040422210200
622413345110432
72212365026351
oct356456761124
9101582335602
1032023241300
1112643315186
126258628418
1330345b8cbb
14179b033628
15c7657cbd5
hex774bbe254

32023241300 has 144 divisors (see below), whose sum is σ = 74097601200. Its totient is φ = 11992780800.

The previous prime is 32023241291. The next prime is 32023241321. The reversal of 32023241300 is 314232023.

It can be written as a sum of positive squares in 24 ways, for example, as 19309325764 + 12713915536 = 138958^2 + 112756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13678130 + ... + 13680470.

It is an arithmetic number, because the mean of its divisors is an integer number (514566675).

Almost surely, 232023241300 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 32023241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37048800600).

32023241300 is an abundant number, since it is smaller than the sum of its proper divisors (42074359900).

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

32023241300 is a wasteful number, since it uses less digits than its factorization.

32023241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32023241300 its reverse (314232023), we get a palindrome (32337473323).

The spelling of 32023241300 in words is "thirty-two billion, twenty-three million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 89 100 106 116 145 178 212 265 290 356 445 530 580 725 890 1060 1325 1450 1537 1780 2225 2341 2581 2650 2900 3074 4450 4682 4717 5162 5300 6148 7685 8900 9364 9434 10324 11705 12905 15370 18868 23410 23585 25810 30740 38425 46820 47170 51620 58525 64525 67889 76850 94340 117050 117925 124073 129050 135778 136793 153700 208349 234100 235850 248146 258100 271556 273586 339445 416698 471700 496292 547172 620365 678890 683965 833396 1041745 1240730 1357780 1367930 1697225 2083490 2481460 2735860 3101825 3394450 3419825 3598117 4166980 5208725 6042121 6203650 6788900 6839650 7196234 10417450 11042497 12084242 12407300 13679300 14392468 17990585 20834900 22084994 24168484 30210605 35981170 44169988 55212485 60421210 71962340 89952925 110424970 120842420 151053025 179905850 220849940 276062425 302106050 320232413 359811700 552124850 604212100 640464826 1104249700 1280929652 1601162065 3202324130 6404648260 8005810325 16011620650 32023241300