Search a number
-
+
22111232 = 2101113151
BaseRepresentation
bin101010001011…
…0010000000000
31112121100220112
41110112100000
521130024412
62105530452
7355641143
oct124262000
945540815
1022111232
1111532550
1274a3a28
134772390
142d1805a
151e1b722
hex1516400

22111232 has 88 divisors (see below), whose sum is σ = 52272192. Its totient is φ = 9216000.

The previous prime is 22111207. The next prime is 22111241. The reversal of 22111232 is 23211122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146357 + ... + 146507.

Almost surely, 222111232 is an apocalyptic number.

22111232 is a gapful number since it is divisible by the number (22) 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 22111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136096).

22111232 is an abundant number, since it is smaller than the sum of its proper divisors (30160960).

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

22111232 is a wasteful number, since it uses less digits than its factorization.

22111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 22111232 is about 4702.2581809169. The cubic root of 22111232 is about 280.6753764453.

Adding to 22111232 its reverse (23211122), we get a palindrome (45322354).

It can be divided in two parts, 2211 and 1232, that added together give a palindrome (3443).

The spelling of 22111232 in words is "twenty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 151 176 208 256 286 302 352 416 512 572 604 704 832 1024 1144 1208 1408 1661 1664 1963 2288 2416 2816 3322 3328 3926 4576 4832 5632 6644 6656 7852 9152 9664 11264 13288 13312 15704 18304 19328 21593 26576 31408 36608 38656 43186 53152 62816 73216 77312 86372 106304 125632 146432 154624 172744 212608 251264 345488 425216 502528 690976 850432 1005056 1381952 1700864 2010112 2763904 5527808 11055616 22111232