Search a number
-
+
21826112 = 2671143103
BaseRepresentation
bin101001101000…
…0101001000000
31112001212210112
41103100221000
521041413422
62055450452
7353342660
oct123205100
945055715
1021826112
1111358310
127386a28
1346a2679
142c821a0
151db1ee2
hex14d0a40

21826112 has 112 divisors (see below), whose sum is σ = 55790592. Its totient is φ = 8225280.

The previous prime is 21826109. The next prime is 21826127. The reversal of 21826112 is 21162812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211853 + ... + 211955.

Almost surely, 221826112 is an apocalyptic number.

21826112 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 21826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27895296).

21826112 is an abundant number, since it is smaller than the sum of its proper divisors (33964480).

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

21826112 is a wasteful number, since it uses less digits than its factorization.

21826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 21826112 is about 4671.8424630974. The cubic root of 21826112 is about 279.4637354904.

Adding to 21826112 its reverse (21162812), we get a palindrome (42988924).

The spelling of 21826112 in words is "twenty-one million, eight hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 103 112 154 172 176 206 224 301 308 344 352 412 448 473 602 616 688 704 721 824 946 1133 1204 1232 1376 1442 1648 1892 2266 2408 2464 2752 2884 3296 3311 3784 4429 4532 4816 4928 5768 6592 6622 7568 7931 8858 9064 9632 11536 13244 15136 15862 17716 18128 19264 23072 26488 30272 31003 31724 35432 36256 46144 48719 52976 62006 63448 70864 72512 97438 105952 124012 126896 141728 194876 211904 248024 253792 283456 341033 389752 496048 507584 682066 779504 992096 1364132 1559008 1984192 2728264 3118016 5456528 10913056 21826112