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22906020 = 22351971283
BaseRepresentation
bin101011101100…
…0010010100100
31121002202011010
41113120102210
521330443040
62134542220
7365461254
oct127302244
947082133
1022906020
1111a256a5
127807970
134990077
143083964
152026e80
hex15d84a4

22906020 has 96 divisors (see below), whose sum is σ = 68705280. Its totient is φ = 5685120.

The previous prime is 22906007. The next prime is 22906033. The reversal of 22906020 is 2060922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22906007) and next prime (22906033).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 80799 + ... + 81081.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 222906020 is an apocalyptic number.

22906020 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 22906020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352640).

22906020 is an abundant number, since it is smaller than the sum of its proper divisors (45799260).

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

22906020 is a wasteful number, since it uses less digits than its factorization.

22906020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22906020 is about 4786.0234015308. The cubic root of 22906020 is about 283.9988262862.

Adding to 22906020 its reverse (2060922), we get a palindrome (24966942).

The spelling of 22906020 in words is "twenty-two million, nine hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 283 284 285 355 380 426 566 570 710 849 852 1065 1132 1140 1349 1415 1420 1698 2130 2698 2830 3396 4047 4245 4260 5377 5396 5660 6745 8094 8490 10754 13490 16131 16188 16980 20093 20235 21508 26885 26980 32262 40186 40470 53770 60279 64524 80372 80655 80940 100465 107540 120558 161310 200930 241116 301395 322620 381767 401860 602790 763534 1145301 1205580 1527068 1908835 2290602 3817670 4581204 5726505 7635340 11453010 22906020