Search a number
-
+
2230729504 = 2519103179199
BaseRepresentation
bin1000010011110110…
…0011101100100000
312202110111210121021
42010331203230200
514032031321004
61005204135224
7106164613363
oct20475435440
95673453537
102230729504
11a45209103
12523097514
132972006b3
1417239a0da
15d0c8bd54
hex84f63b20

2230729504 has 96 divisors (see below), whose sum is σ = 4717440000. Its totient is φ = 1035327744.

The previous prime is 2230729483. The next prime is 2230729537. The reversal of 2230729504 is 4059270322.

It is a happy number.

It is a super-3 number, since 3×22307295043 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2230729504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11209597 + ... + 11209795.

It is an arithmetic number, because the mean of its divisors is an integer number (49140000).

Almost surely, 22230729504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720000).

2230729504 is an abundant number, since it is smaller than the sum of its proper divisors (2486710496).

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

2230729504 is a wasteful number, since it uses less digits than its factorization.

2230729504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2230729504 is about 47230.5992339712. The cubic root of 2230729504 is about 1306.6190039998.

Adding to 2230729504 its reverse (4059270322), we get a palindrome (6289999826).

The spelling of 2230729504 in words is "two billion, two hundred thirty million, seven hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 179 199 206 304 358 398 412 608 716 796 824 1432 1592 1648 1957 2864 3184 3296 3401 3781 3914 5728 6368 6802 7562 7828 13604 15124 15656 18437 20497 27208 30248 31312 35621 36874 40994 54416 60496 62624 71242 73748 81988 108832 120992 142484 147496 163976 284968 294992 327952 350303 389443 569936 589984 655904 676799 700606 778886 1139872 1353598 1401212 1557772 2707196 2802424 3115544 3668963 5414392 5604848 6231088 7337926 10828784 11209696 12462176 14675852 21657568 29351704 58703408 69710297 117406816 139420594 278841188 557682376 1115364752 2230729504