Search a number
-
+
13332223200 = 253529757269
BaseRepresentation
bin11000110101010100…
…11001010011100000
31021102010221010000110
430122222121103200
5204301022120300
610042535451320
7651246012252
oct143252312340
937363833013
1013332223200
11572176868a
122700b26b40
13134617268a
14906929cd2
155306c8550
hex31aa994e0

13332223200 has 144 divisors (see below), whose sum is σ = 43844537520. Its totient is φ = 3518545920.

The previous prime is 13332223189. The next prime is 13332223207. The reversal of 13332223200 is 232223331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332223207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204166 + ... + 261434.

It is an arithmetic number, because the mean of its divisors is an integer number (304475955).

Almost surely, 213332223200 is an apocalyptic number.

13332223200 is a gapful number since it is divisible by the number (10) 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 13332223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922268760).

13332223200 is an abundant number, since it is smaller than the sum of its proper divisors (30512314320).

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

13332223200 is a wasteful number, since it uses less digits than its factorization.

13332223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57389 (or 57376 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13332223200 its reverse (232223331), we get a palindrome (13564446531).

The spelling of 13332223200 in words is "thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 97 100 120 150 160 194 200 240 291 300 388 400 480 485 582 600 776 800 970 1164 1200 1455 1552 1940 2328 2400 2425 2910 3104 3880 4656 4850 5820 7275 7760 9312 9700 11640 14550 15520 19400 23280 29100 38800 46560 57269 58200 77600 114538 116400 171807 229076 232800 286345 343614 458152 572690 687228 859035 916304 1145380 1374456 1431725 1718070 1832608 2290760 2748912 2863450 3436140 4295175 4581520 5497824 5555093 5726900 6872280 8590350 9163040 11110186 11453800 13744560 16665279 17180700 22220372 22907600 27489120 27775465 33330558 34361400 44440744 45815200 55550930 66661116 68722800 83326395 88881488 111101860 133322232 137445600 138877325 166652790 177762976 222203720 266644464 277754650 333305580 416631975 444407440 533288928 555509300 666611160 833263950 888814880 1111018600 1333222320 1666527900 2222037200 2666444640 3333055800 4444074400 6666111600 13332223200