Search a number
-
+
292220 = 22519769
BaseRepresentation
bin1000111010101111100
3112211211222
41013111330
533322340
610132512
72324645
oct1072574
9484758
10292220
1118a605
12121138
13a3016
14786cc
155b8b5
hex4757c

292220 has 24 divisors (see below), whose sum is σ = 646800. Its totient is φ = 110592.

The previous prime is 292183. The next prime is 292223. The reversal of 292220 is 22292.

It is a happy number.

292220 is nontrivially palindromic in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292220.

It is not an unprimeable number, because it can be changed into a prime (292223) by changing a digit.

292220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (26950).

2292220 is an apocalyptic number.

292220 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 292220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323400).

292220 is an abundant number, since it is smaller than the sum of its proper divisors (354580).

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

292220 is a wasteful number, since it uses less digits than its factorization.

292220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 292220 is about 540.5737692489. The cubic root of 292220 is about 66.3595316385.

It can be divided in two parts, 292 and 220, that added together give a 9-th power (512 = 29).

The spelling of 292220 in words is "two hundred ninety-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 769 1538 3076 3845 7690 14611 15380 29222 58444 73055 146110 292220