Search a number
-
+
213300202230 = 236545236469
BaseRepresentation
bin1100011010100110101…
…1101100101011110110
3202101120020221222000000
43012221223230223312
511443314322432410
6241553323332130
721260530542543
oct3065153545366
9671506858000
10213300202230
1182507448a75
1235409981046
131716395ca1b
14a476673bca
155835e24dc0
hex31a9aecaf6

213300202230 has 112 divisors (see below), whose sum is σ = 575863488720. Its totient is φ = 56858687424.

The previous prime is 213300202211. The next prime is 213300202259. The reversal of 213300202230 is 32202003312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32969436 + ... + 32975904.

Almost surely, 2213300202230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213300202230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287931744360).

213300202230 is an abundant number, since it is smaller than the sum of its proper divisors (362563286490).

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

213300202230 is an equidigital number, since it uses as much as digits as its factorization.

213300202230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213300202230 its reverse (32202003312), we get a palindrome (245502205542).

The spelling of 213300202230 in words is "two hundred thirteen billion, three hundred million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 4523 6469 7290 9046 12938 13569 19407 22615 27138 32345 38814 40707 45230 58221 64690 67845 81414 97035 116442 122121 135690 174663 194070 203535 244242 291105 349326 366363 407070 523989 582210 610605 732726 873315 1047978 1099089 1221210 1571967 1746630 1831815 2198178 2619945 3143934 3297267 3663630 4715901 5239890 5495445 6594534 7859835 9431802 10990890 15719670 16486335 23579505 29259287 32972670 47159010 58518574 87777861 146296435 175555722 263333583 292592870 438889305 526667166 790000749 877778610 1316667915 1580001498 2370002247 2633335830 3950003745 4740004494 7110006741 7900007490 11850011235 14220013482 21330020223 23700022470 35550033705 42660040446 71100067410 106650101115 213300202230