Search a number
-
+
223130313200 = 245212731314033
BaseRepresentation
bin1100111111001110011…
…0100110000111110000
3210022221100001100012002
43033303212212013300
512123432330010300
6250301000553132
722056243240314
oct3176346460760
9708840040162
10223130313200
11866a1276923
12372b1a827a8
131806c3a6532
14ab2a011b44
155c0de255d5
hex33f39a61f0

223130313200 has 120 divisors (see below), whose sum is σ = 542056401408. Its totient is φ = 88260157440.

The previous prime is 223130313187. The next prime is 223130313221. The reversal of 223130313200 is 2313031322.

It is a super-3 number, since 3×2231303132003 (a number of 35 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 15893384 + ... + 15907416.

Almost surely, 2223130313200 is an apocalyptic number.

223130313200 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 223130313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028200704).

223130313200 is an abundant number, since it is smaller than the sum of its proper divisors (318926088208).

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

223130313200 is a wasteful number, since it uses less digits than its factorization.

223130313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14491 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 223130313200 its reverse (2313031322), we get a palindrome (225443344522).

The spelling of 223130313200 in words is "two hundred twenty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 313 400 508 626 635 1016 1252 1270 1565 2032 2504 2540 3130 3175 5008 5080 6260 6350 7825 10160 12520 12700 14033 15650 25040 25400 28066 31300 39751 50800 56132 62600 70165 79502 112264 125200 140330 159004 198755 224528 280660 318008 350825 397510 561320 636016 701650 795020 993775 1122640 1403300 1590040 1782191 1987550 2806600 3180080 3564382 3975100 4392329 5613200 7128764 7950200 8784658 8910955 14257528 15900400 17569316 17821910 21961645 28515056 35138632 35643820 43923290 44554775 70277264 71287640 87846580 89109550 109808225 142575280 175693160 178219100 219616450 351386320 356438200 439232900 557825783 712876400 878465800 1115651566 1756931600 2231303132 2789128915 4462606264 5578257830 8925212528 11156515660 13945644575 22313031320 27891289150 44626062640 55782578300 111565156600 223130313200