Search a number
-
+
11232032220 = 22325312012909
BaseRepresentation
bin10100111010111101…
…10011010111011100
31001222210001100121100
422131132303113130
5141000400012340
65054313233100
7545224461423
oct123536632734
931883040540
1011232032220
11484420a062
122215702790
1310a0018916
14787a302ba
1545b124830
hex29d7b35dc

11232032220 has 72 divisors (see below), whose sum is σ = 35169563520. Its totient is φ = 2898587520.

The previous prime is 11232032213. The next prime is 11232032239. The reversal of 11232032220 is 2223023211.

11232032220 is a `hidden beast` number, since 1 + 1 + 2 + 320 + 322 + 20 = 666.

It is a super-2 number, since 2×112320322202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11232032193 and 11232032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000875 + ... + 1012034.

It is an arithmetic number, because the mean of its divisors is an integer number (488466160).

Almost surely, 211232032220 is an apocalyptic number.

11232032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232032220 is an abundant number, since it is smaller than the sum of its proper divisors (23937531300).

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

11232032220 is a wasteful number, since it uses less digits than its factorization.

11232032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012955 (or 2012950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11232032220 its reverse (2223023211), we get a palindrome (13455055431).

Subtracting from 11232032220 its reverse (2223023211), we obtain a palindrome (9009009009).

The spelling of 11232032220 in words is "eleven billion, two hundred thirty-two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2012909 4025818 6038727 8051636 10064545 12077454 18116181 20129090 24154908 30193635 36232362 40258180 60387270 62400179 72464724 90580905 120774540 124800358 181161810 187200537 249600716 312000895 362323620 374401074 561601611 624001790 748802148 936002685 1123203222 1248003580 1872005370 2246406444 2808008055 3744010740 5616016110 11232032220