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22064460 = 223511101331
BaseRepresentation
bin101010000101…
…0110101001100
31112111222202020
41110022311030
521122030320
62104530140
7355354605
oct124126514
945458666
1022064460
11115003a0
127480950
134756cc2
142d04dac
151e0c940
hex150ad4c

22064460 has 96 divisors (see below), whose sum is σ = 68269824. Its totient is φ = 5280000.

The previous prime is 22064459. The next prime is 22064473. The reversal of 22064460 is 6446022.

It is a self number, because there is not a number n which added to its sum of digits gives 22064460.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 66495 + ... + 66825.

It is an arithmetic number, because the mean of its divisors is an integer number (711144).

Almost surely, 222064460 is an apocalyptic number.

22064460 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 22064460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134912).

22064460 is an abundant number, since it is smaller than the sum of its proper divisors (46205364).

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

22064460 is a wasteful number, since it uses less digits than its factorization.

22064460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22064460 is about 4697.2821929282. The cubic root of 22064460 is about 280.4773320608.

It can be divided in two parts, 2206 and 4460, that added together give a palindrome (6666).

The spelling of 22064460 in words is "twenty-two million, sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 331 404 505 606 660 662 993 1010 1111 1212 1324 1515 1655 1986 2020 2222 3030 3310 3333 3641 3972 4444 4965 5555 6060 6620 6666 7282 9930 10923 11110 13332 14564 16665 18205 19860 21846 22220 33330 33431 36410 43692 54615 66660 66862 72820 100293 109230 133724 167155 200586 218460 334310 367741 401172 501465 668620 735482 1002930 1103223 1470964 1838705 2005860 2206446 3677410 4412892 5516115 7354820 11032230 22064460