Search a number
-
+
22025736 = 2333107953
BaseRepresentation
bin101010000000…
…1011000001000
31112110000122000
41110001120020
521114310421
62104031000
7355133655
oct124013010
945400560
1022025736
1111484297
127462460
1347424a5
142cd4c2c
151e01226
hex1501608

22025736 has 64 divisors (see below), whose sum is σ = 61819200. Its totient is φ = 7265664.

The previous prime is 22025719. The next prime is 22025741. The reversal of 22025736 is 63752022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 22636 + ... + 23588.

It is an arithmetic number, because the mean of its divisors is an integer number (965925).

Almost surely, 222025736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22025736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30909600).

22025736 is an abundant number, since it is smaller than the sum of its proper divisors (39793464).

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

22025736 is a wasteful number, since it uses less digits than its factorization.

22025736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 22025736 is about 4693.1584247711. The cubic root of 22025736 is about 280.3131530393.

Adding to 22025736 its reverse (63752022), we get a palindrome (85777758).

The spelling of 22025736 in words is "twenty-two million, twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 953 963 1284 1906 1926 2568 2859 2889 3812 3852 5718 5778 7624 7704 8577 11436 11556 17154 22872 23112 25731 34308 51462 68616 101971 102924 203942 205848 305913 407884 611826 815768 917739 1223652 1835478 2447304 2753217 3670956 5506434 7341912 11012868 22025736