Search a number
-
+
200246640 = 243511101751
BaseRepresentation
bin10111110111110…
…00010101110000
3111221210120202020
423323320111300
5402230343030
631511551440
74651032306
oct1373702560
9457716666
10200246640
11a30412a0
125708b580
1332642649
141c848276
15128a7510
hexbef8570

200246640 has 160 divisors (see below), whose sum is σ = 684813312. Its totient is φ = 48000000.

The previous prime is 200246633. The next prime is 200246677. The reversal of 200246640 is 46642002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200246640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266265 + ... + 267015.

Almost surely, 2200246640 is an apocalyptic number.

200246640 is a gapful number since it is divisible by the number (20) 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 200246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342406656).

200246640 is an abundant number, since it is smaller than the sum of its proper divisors (484566672).

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

200246640 is a wasteful number, since it uses less digits than its factorization.

200246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 200246640 is about 14150.8529778243. The cubic root of 200246640 is about 585.0438421376.

Adding to 200246640 its reverse (46642002), we get a palindrome (246888642).

The spelling of 200246640 in words is "two hundred million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 751 808 880 1010 1111 1212 1320 1502 1515 1616 2020 2222 2253 2424 2640 3004 3030 3333 3755 4040 4444 4506 4848 5555 6008 6060 6666 7510 8080 8261 8888 9012 11110 11265 12016 12120 13332 15020 16522 16665 17776 18024 22220 22530 24240 24783 26664 30040 33044 33330 36048 41305 44440 45060 49566 53328 60080 66088 66660 75851 82610 88880 90120 99132 123915 132176 133320 151702 165220 180240 198264 227553 247830 266640 303404 330440 379255 396528 455106 495660 606808 660880 758510 834361 910212 991320 1137765 1213616 1517020 1668722 1820424 1982640 2275530 2503083 3034040 3337444 3640848 4171805 4551060 5006166 6068080 6674888 8343610 9102120 10012332 12515415 13349776 16687220 18204240 20024664 25030830 33374440 40049328 50061660 66748880 100123320 200246640