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22230504 = 23331011019
BaseRepresentation
bin101010011001…
…1010111101000
31112211102112000
41110303113220
521142334004
62112251000
7356645652
oct124632750
945742460
1022230504
111160411a
127540a60
1347b475a
142d496d2
151e41c39
hex15335e8

22230504 has 64 divisors (see below), whose sum is σ = 62424000. Its totient is φ = 7329600.

The previous prime is 22230497. The next prime is 22230517. The reversal of 22230504 is 40503222.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21307 + ... + 22325.

It is an arithmetic number, because the mean of its divisors is an integer number (975375).

Almost surely, 222230504 is an apocalyptic number.

22230504 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 22230504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212000).

22230504 is an abundant number, since it is smaller than the sum of its proper divisors (40193496).

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

22230504 is a wasteful number, since it uses less digits than its factorization.

22230504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22230504 is about 4714.9235412677. The cubic root of 22230504 is about 281.1791430390.

Adding to 22230504 its reverse (40503222), we get a palindrome (62733726).

The spelling of 22230504 in words is "twenty-two million, two hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1019 1212 1818 2038 2424 2727 3057 3636 4076 5454 6114 7272 8152 9171 10908 12228 18342 21816 24456 27513 36684 55026 73368 102919 110052 205838 220104 308757 411676 617514 823352 926271 1235028 1852542 2470056 2778813 3705084 5557626 7410168 11115252 22230504