Search a number
-
+
223300122000 = 24353191958773
BaseRepresentation
bin1100111111110110111…
…0010111010110010000
3210100101011120112001220
43033331232113112100
512124304312401000
6250325504325040
722063404501564
oct3177556272620
9710334515056
10223300122000
118677910877a
123733a913780
131809861c807
14ab447b56a4
155c1dcb91a0
hex33fdb97590

223300122000 has 160 divisors (see below), whose sum is σ = 757810485120. Its totient is φ = 56412633600.

The previous prime is 223300121977. The next prime is 223300122041. The reversal of 223300122000 is 221003322.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865387 + ... + 1093386.

It is an arithmetic number, because the mean of its divisors is an integer number (4736315532).

Almost surely, 2223300122000 is an apocalyptic number.

223300122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223300122000 is an abundant number, since it is smaller than the sum of its proper divisors (534510363120).

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

223300122000 is a wasteful number, since it uses less digits than its factorization.

223300122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958818 (or 1958802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223300122000 its reverse (221003322), we get a palindrome (223521125322).

The spelling of 223300122000 in words is "two hundred twenty-three billion, three hundred million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 1958773 3917546 5876319 7835092 9793865 11752638 15670184 19587730 23505276 29381595 31340368 37216687 39175460 47010552 48969325 58763190 74433374 78350920 94021104 97938650 111650061 117526380 146907975 148866748 156701840 186083435 195877300 223300122 235052760 244846625 293815950 297733496 372166870 391754600 446600244 470105520 489693250 558250305 587631900 595466992 734539875 744333740 783509200 893200488 930417175 979386500 1116500610 1175263800 1469079750 1488667480 1786400976 1860834350 1958773000 2233001220 2350527600 2791251525 2938159500 2977334960 3721668700 3917546000 4466002440 4652085875 5582503050 5876319000 7443337400 8932004880 9304171750 11165006100 11752638000 13956257625 14886674800 18608343500 22330012200 27912515250 37216687000 44660024400 55825030500 74433374000 111650061000 223300122000