Search a number
-
+
221133130230 = 235177122512713
BaseRepresentation
bin1100110111110010001…
…1111100100111110110
3210010210010222221012110
43031330203330213312
512110340040131410
6245330454231450
721655612410405
oct3157443744766
9703703887173
10221133130230
1185866983791
1236a35055586
1317b116a746c
14a9baa8b63c
155b4391c720
hex337c8fc9f6

221133130230 has 128 divisors (see below), whose sum is σ = 570316225536. Its totient is φ = 54673920000.

The previous prime is 221133130217. The next prime is 221133130259. The reversal of 221133130230 is 32031331122.

221133130230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211331302302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221133130197 and 221133130206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81507354 + ... + 81510066.

It is an arithmetic number, because the mean of its divisors is an integer number (4455595512).

Almost surely, 2221133130230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221133130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285158112768).

221133130230 is an abundant number, since it is smaller than the sum of its proper divisors (349183095306).

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

221133130230 is a wasteful number, since it uses less digits than its factorization.

221133130230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 221133130230 its reverse (32031331122), we get a palindrome (253164461352).

The spelling of 221133130230 in words is "two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 2130 2251 2414 2713 3621 4502 5426 6035 6753 7242 8139 11255 12070 13506 13565 16278 18105 22510 27130 33765 36210 38267 40695 46121 67530 76534 81390 92242 114801 138363 159821 191335 192623 229602 230605 276726 319642 382670 385246 461210 479463 574005 577869 691815 799105 958926 963115 1148010 1155738 1383630 1598210 1926230 2397315 2716957 2889345 3274591 4794630 5433914 5778690 6106963 6549182 8150871 9823773 12213926 13584785 16301742 16372955 18320889 19647546 27169570 30534815 32745910 36641778 40754355 49118865 61069630 81508710 91604445 98237730 103818371 183208890 207636742 311455113 433594373 519091855 622910226 867188746 1038183710 1300783119 1557275565 2167971865 2601566238 3114551130 4335943730 6503915595 7371104341 13007831190 14742208682 22113313023 36855521705 44226626046 73711043410 110566565115 221133130230