Search a number
-
+
200233000320 = 2735172360527
BaseRepresentation
bin1011101001111011010…
…0010001110110000000
3201010211120201022211220
42322132310101312000
511240034122002240
6231552532035040
720315650264143
oct2723664216600
9633746638756
10200233000320
1177a11343851
1232981762a80
1315b6068bca2
14999701405a
15531db4b5d0
hex2e9ed11d80

200233000320 has 128 divisors (see below), whose sum is σ = 638623664640. Its totient is φ = 53363595264.

The previous prime is 200233000291. The next prime is 200233000343. The reversal of 200233000320 is 23000332002.

200233000320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200233000320.

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, 3277897 + ... + 3338423.

It is an arithmetic number, because the mean of its divisors is an integer number (4989247380).

Almost surely, 2200233000320 is an apocalyptic number.

200233000320 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 200233000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319311832320).

200233000320 is an abundant number, since it is smaller than the sum of its proper divisors (438390664320).

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

200233000320 is a wasteful number, since it uses less digits than its factorization.

200233000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62272 (or 62260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 200233000320 its reverse (23000332002), we get a palindrome (223233332322).

The spelling of 200233000320 in words is "two hundred billion, two hundred thirty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1723 1920 3446 5169 6892 8615 10338 13784 17230 20676 25845 27568 34460 41352 51690 55136 60527 68920 82704 103380 110272 121054 137840 165408 181581 206760 220544 242108 275680 302635 330816 363162 413520 484216 551360 605270 661632 726324 827040 907905 968432 1102720 1210540 1452648 1654080 1815810 1936864 2421080 2905296 3308160 3631620 3873728 4842160 5810592 7263240 7747456 9684320 11621184 14526480 19368640 23242368 29052960 38737280 58105920 104288021 116211840 208576042 312864063 417152084 521440105 625728126 834304168 1042880210 1251456252 1564320315 1668608336 2085760420 2502912504 3128640630 3337216672 4171520840 5005825008 6257281260 6674433344 8343041680 10011650016 12514562520 13348866688 16686083360 20023300032 25029125040 33372166720 40046600064 50058250080 66744333440 100116500160 200233000320