Search a number
-
+
415340252200 = 235210728368581
BaseRepresentation
bin1100000101101000011…
…01010100110000101000
31110201001202221220221201
412002310031110300220
523301104101032300
6514445451013544
742002342615236
oct6026415246050
91421052856851
10415340252200
11150165820985
12685b473a2b4
1330221809753
1416161677956
15ac0d51d66a
hex60b4354c28

415340252200 has 96 divisors (see below), whose sum is σ = 978149403360. Its totient is φ = 163999468800.

The previous prime is 415340252183. The next prime is 415340252203. The reversal of 415340252200 is 2252043514.

It is a super-3 number, since 3×4153402522003 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (415340252203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6021910 + ... + 6090490.

It is an arithmetic number, because the mean of its divisors is an integer number (10189056285).

Almost surely, 2415340252200 is an apocalyptic number.

415340252200 is a gapful number since it is divisible by the number (40) 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 415340252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489074701680).

415340252200 is an abundant number, since it is smaller than the sum of its proper divisors (562809151160).

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

415340252200 is a wasteful number, since it uses less digits than its factorization.

415340252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68987 (or 68978 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 415340252200 its reverse (2252043514), we get a palindrome (417592295714).

The spelling of 415340252200 in words is "four hundred fifteen billion, three hundred forty million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 283 428 535 566 856 1070 1132 1415 2140 2264 2675 2830 4280 5350 5660 7075 10700 11320 14150 21400 28300 30281 56600 60562 68581 121124 137162 151405 242248 274324 302810 342905 548648 605620 685810 757025 1211240 1371620 1514050 1714525 2743240 3028100 3429050 6056200 6858100 7338167 13716200 14676334 19408423 29352668 36690835 38816846 58705336 73381670 77633692 97042115 146763340 155267384 183454175 194084230 293526680 366908350 388168460 485210575 733816700 776336920 970421150 1467633400 1940842300 2076701261 3881684600 4153402522 8306805044 10383506305 16613610088 20767012610 41534025220 51917531525 83068050440 103835063050 207670126100 415340252200