Search a number
-
+
223244312130 = 23257258786239
BaseRepresentation
bin1100111111101001100…
…1011101111001000010
3210100020021120002022200
43033322121131321002
512124201020442010
6250320152214030
722062126225600
oct3177231357102
9710207502280
10223244312130
118674a659a14
123732409a316
1318089babb18
14ab3b208870
155c18e42cc0
hex33fa65de42

223244312130 has 144 divisors (see below), whose sum is σ = 676358242560. Its totient is φ = 50939751744.

The previous prime is 223244312117. The next prime is 223244312131. The reversal of 223244312130 is 31213442322.

223244312130 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 443 + 1 + 213 + 0 = 666.

It is a super-3 number, since 3×2232443121303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223244312094 and 223244312103.

It is not an unprimeable number, because it can be changed into a prime (223244312131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2545551 + ... + 2631789.

It is an arithmetic number, because the mean of its divisors is an integer number (4696932240).

Almost surely, 2223244312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223244312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338179121280).

223244312130 is an abundant number, since it is smaller than the sum of its proper divisors (453113930430).

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

223244312130 is a wasteful number, since it uses less digits than its factorization.

223244312130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86853 (or 86843 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223244312130 its reverse (31213442322), we get a palindrome (254457754452).

The spelling of 223244312130 in words is "two hundred twenty-three billion, two hundred forty-four million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 587 630 735 882 1174 1470 1761 2205 2935 3522 4109 4410 5283 5870 8218 8805 10566 12327 17610 20545 24654 26415 28763 36981 41090 52830 57526 61635 73962 86239 86289 123270 143815 172478 172578 184905 258717 258867 287630 369810 431195 431445 517434 517734 603673 776151 862390 862890 1207346 1293585 1294335 1552302 1811019 2587170 2588670 3018365 3622038 3880755 4225711 5433057 6036730 7761510 8451422 9055095 10866114 12677133 18110190 21128555 25354266 27165285 38031399 42257110 50622293 54330570 63385665 76062798 101244586 126771330 151866879 190156995 253111465 303733758 354356051 380313990 455600637 506222930 708712102 759334395 911201274 1063068153 1518668790 1771780255 2126136306 2278003185 2480492357 3189204459 3543560510 4556006370 4960984714 5315340765 6378408918 7441477071 10630681530 12402461785 14882954142 15946022295 22324431213 24804923570 31892044590 37207385355 44648862426 74414770710 111622156065 223244312130