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22030480 = 2451132437
BaseRepresentation
bin101010000001…
…0100010010000
31112110021010201
41110002202100
521114433410
62104104544
7355153543
oct124024220
945407121
1022030480
111148790a
127465154
1347446b4
142cd685a
151e0283a
hex1502890

22030480 has 40 divisors (see below), whose sum is σ = 51695352. Its totient is φ = 8730624.

The previous prime is 22030439. The next prime is 22030483. The reversal of 22030480 is 8403022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 20502784 = 1236^2 + 4528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22030483) 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 7 ways as a sum of consecutive naturals, for example, 7822 + ... + 10258.

Almost surely, 222030480 is an apocalyptic number.

22030480 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 22030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25847676).

22030480 is an abundant number, since it is smaller than the sum of its proper divisors (29664872).

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

22030480 is a wasteful number, since it uses less digits than its factorization.

22030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22030480 is about 4693.6638141222. The cubic root of 22030480 is about 280.3332766216. Note that the first 3 decimals are identical.

The spelling of 22030480 in words is "twenty-two million, thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 2437 4520 4874 9040 9748 12185 19496 24370 38992 48740 97480 194960 275381 550762 1101524 1376905 2203048 2753810 4406096 5507620 11015240 22030480