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22004320 = 2551371149
BaseRepresentation
bin101001111110…
…0001001100000
31112101221020211
41103330021200
521113114240
62103343504
7355014352
oct123741140
945357224
1022004320
111146a198
127451b94
134735810
142ccb0d2
151de9bea
hex14fc260

22004320 has 96 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 7956480.

The previous prime is 22004303. The next prime is 22004321. The reversal of 22004320 is 2340022.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 22004320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147606 + ... + 147754.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 222004320 is an apocalyptic number.

22004320 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 22004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

22004320 is an abundant number, since it is smaller than the sum of its proper divisors (35149280).

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

22004320 is a wasteful number, since it uses less digits than its factorization.

22004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22004320 is about 4690.8762507659. The cubic root of 22004320 is about 280.2222724863. Note that the first 4 decimals are identical.

Adding to 22004320 its reverse (2340022), we get a palindrome (24344342).

The spelling of 22004320 in words is "twenty-two million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 149 160 208 260 284 298 355 416 520 568 596 710 745 923 1040 1136 1192 1420 1490 1846 1937 2080 2272 2384 2840 2980 3692 3874 4615 4768 5680 5960 7384 7748 9230 9685 10579 11360 11920 14768 15496 18460 19370 21158 23840 29536 30992 36920 38740 42316 52895 61984 73840 77480 84632 105790 137527 147680 154960 169264 211580 275054 309920 338528 423160 550108 687635 846320 1100216 1375270 1692640 2200432 2750540 4400864 5501080 11002160 22004320