Search a number
-
+
2085117700 = 225283251219
BaseRepresentation
bin111110001001000…
…0101111100000100
312101022111221202111
41330102011330010
513232242231300
6542523150404
7102446131231
oct17422057404
95338457674
102085117700
1197aaa3876
124a2375404
13272ca9c73
1415acd4788
15c30c79ba
hex7c485f04

2085117700 has 36 divisors (see below), whose sum is σ = 4579238160. Its totient is φ = 823995040.

The previous prime is 2085117659. The next prime is 2085117701. The reversal of 2085117700 is 77115802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2085117701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117310 + ... + 133909.

It is an arithmetic number, because the mean of its divisors is an integer number (127201060).

Almost surely, 22085117700 is an apocalyptic number.

2085117700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085117700 is an abundant number, since it is smaller than the sum of its proper divisors (2494120460).

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

2085117700 is a wasteful number, since it uses less digits than its factorization.

2085117700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251316 (or 251309 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 2085117700 is about 45663.0890326093. The cubic root of 2085117700 is about 1277.5469171383.

The spelling of 2085117700 in words is "two billion, eighty-five million, one hundred seventeen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 251219 502438 1004876 1256095 2512190 5024380 6280475 12560950 20851177 25121900 41702354 83404708 104255885 208511770 417023540 521279425 1042558850 2085117700