Search a number
-
+
200245770 = 23451731429
BaseRepresentation
bin10111110111110…
…00001000001010
3111221210112120000
423323320020022
5402230331040
631511543430
74651026624
oct1373701012
9457715500
10200245770
11a304067a
125708ab76
133264212a
141c847c14
15128a7130
hexbef820a

200245770 has 80 divisors (see below), whose sum is σ = 541929960. Its totient is φ = 53053056.

The previous prime is 200245757. The next prime is 200245777. The reversal of 200245770 is 77542002.

200245770 is a `hidden beast` number, since 200 + 2 + 457 + 7 + 0 = 666.

200245770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156725361 + 43520409 = 12519^2 + 6597^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200245777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139416 + ... + 140844.

Almost surely, 2200245770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200245770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270964980).

200245770 is an abundant number, since it is smaller than the sum of its proper divisors (341684190).

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

200245770 is a wasteful number, since it uses less digits than its factorization.

200245770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 200245770 is about 14150.8222375945. The cubic root of 200245770 is about 585.0429948676.

Adding to 200245770 its reverse (77542002), we get a palindrome (277787772).

The spelling of 200245770 in words is "two hundred million, two hundred forty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 173 270 346 405 519 810 865 1038 1429 1557 1730 2595 2858 3114 4287 4671 5190 7145 7785 8574 9342 12861 14013 14290 15570 21435 23355 25722 28026 38583 42870 46710 64305 70065 77166 115749 128610 140130 192915 231498 247217 385830 494434 578745 741651 1157490 1236085 1483302 2224953 2472170 3708255 4449906 6674859 7416510 11124765 13349718 20024577 22249530 33374295 40049154 66748590 100122885 200245770