Search a number
-
+
9992200 = 2352471063
BaseRepresentation
bin100110000111…
…100000001000
3200210122201111
4212013200020
510024222300
6554100104
7150634531
oct46074010
920718644
109992200
115705319
12341a634
1320bb15a
141481688
15d259ba
hex987808

9992200 has 48 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 3908160.

The previous prime is 9992197. The next prime is 9992201. The reversal of 9992200 is 22999.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9992201) 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, 8869 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 29992200 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 9992200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

9992200 is an abundant number, since it is smaller than the sum of its proper divisors (13756280).

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

9992200 is a wasteful number, since it uses less digits than its factorization.

9992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 9992200 is about 3161.0441312959. The cubic root of 9992200 is about 215.3874391310.

The spelling of 9992200 in words is "nine million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1063 1175 1880 2126 2350 4252 4700 5315 8504 9400 10630 21260 26575 42520 49961 53150 99922 106300 199844 212600 249805 399688 499610 999220 1249025 1998440 2498050 4996100 9992200