Search a number
-
+
22031424 = 2632231663
BaseRepresentation
bin101010000001…
…0110001000000
31112110022102200
41110002301000
521120001144
62104113200
7355156362
oct124026100
945408380
1022031424
1111488598
127465800
134744c5c
142cd6d32
151e02c69
hex1502c40

22031424 has 84 divisors (see below), whose sum is σ = 65934336. Its totient is φ = 7020288.

The previous prime is 22031423. The next prime is 22031459. The reversal of 22031424 is 42413022.

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 = 22031397 and 22031406.

It is not an unprimeable number, because it can be changed into a prime (22031423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12417 + ... + 14079.

Almost surely, 222031424 is an apocalyptic number.

22031424 is a gapful number since it is divisible by the number (24) 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 22031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967168).

22031424 is an abundant number, since it is smaller than the sum of its proper divisors (43902912).

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

22031424 is a wasteful number, since it uses less digits than its factorization.

22031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22031424 is about 4693.7643741458. The cubic root of 22031424 is about 280.3372806323.

Adding to 22031424 its reverse (42413022), we get a palindrome (64444446).

The spelling of 22031424 in words is "twenty-two million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 1663 2208 3312 3326 4416 4989 6624 6652 9978 13248 13304 14967 19956 26608 29934 38249 39912 53216 59868 76498 79824 106432 114747 119736 152996 159648 229494 239472 305992 319296 344241 458988 478944 611984 688482 917976 957888 1223968 1376964 1835952 2447936 2753928 3671904 5507856 7343808 11015712 22031424