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22030944 = 25313127139
BaseRepresentation
bin101010000001…
…0101001100000
31112110021202220
41110002221200
521114442234
62104111040
7355155105
oct124025140
945407686
1022030944
11114881a1
127465480
134744980
142cd6aac
151e02a49
hex1502a60

22030944 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 6676992.

The previous prime is 22030927. The next prime is 22030949. The reversal of 22030944 is 44903022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220309442 = 970724987062272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22030949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158427 + ... + 158565.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 222030944 is an apocalyptic number.

22030944 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 22030944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

22030944 is an abundant number, since it is smaller than the sum of its proper divisors (41190816).

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

22030944 is a wasteful number, since it uses less digits than its factorization.

22030944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22030944 is about 4693.7132421996. The cubic root of 22030944 is about 280.3352447090.

Adding to 22030944 its reverse (44903022), we get a palindrome (66933966).

The spelling of 22030944 in words is "twenty-two million, thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 139 156 208 254 278 312 381 416 417 508 556 624 762 834 1016 1112 1248 1524 1651 1668 1807 2032 2224 3048 3302 3336 3614 4064 4448 4953 5421 6096 6604 6672 7228 9906 10842 12192 13208 13344 14456 17653 19812 21684 26416 28912 35306 39624 43368 52832 52959 57824 70612 79248 86736 105918 141224 158496 173472 211836 229489 282448 423672 458978 564896 688467 847344 917956 1376934 1694688 1835912 2753868 3671824 5507736 7343648 11015472 22030944