Search a number
-
+
2099232 = 253237197
BaseRepresentation
bin1000000000100000100000
310221122121100
420000200200
51014133412
6112554400
723562132
oct10004040
93848540
102099232
111204203
12852a00
13586665
143c9052
152b6edc
hex200820

2099232 has 72 divisors (see below), whose sum is σ = 6162156. Its totient is φ = 677376.

The previous prime is 2099221. The next prime is 2099249. The reversal of 2099232 is 2329902.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 571536 = 1236^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2099196 and 2099205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10558 + ... + 10754.

22099232 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 2099232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081078).

2099232 is an abundant number, since it is smaller than the sum of its proper divisors (4062924).

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

2099232 is a wasteful number, since it uses less digits than its factorization.

2099232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2099232 is about 1448.8726652125. The cubic root of 2099232 is about 128.0423037255.

The spelling of 2099232 in words is "two million, ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 197 222 288 296 333 394 444 591 592 666 788 888 1182 1184 1332 1576 1773 1776 2364 2664 3152 3546 3552 4728 5328 6304 7092 7289 9456 10656 14184 14578 18912 21867 28368 29156 43734 56736 58312 65601 87468 116624 131202 174936 233248 262404 349872 524808 699744 1049616 2099232