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22572420 = 22351343673
BaseRepresentation
bin101011000011…
…0110110000100
31120110210112120
41112012312010
521234304140
62123445540
7362601543
oct126066604
946423476
1022572420
1111817aa2
1276868b0
1348a4280
142dd815a
151ead1d0
hex1586d84

22572420 has 96 divisors (see below), whose sum is σ = 69750912. Its totient is φ = 5419008.

The previous prime is 22572419. The next prime is 22572439. The reversal of 22572420 is 2427522.

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, 33204 + ... + 33876.

It is an arithmetic number, because the mean of its divisors is an integer number (726572).

Almost surely, 222572420 is an apocalyptic number.

22572420 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 22572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34875456).

22572420 is an abundant number, since it is smaller than the sum of its proper divisors (47178492).

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

22572420 is a wasteful number, since it uses less digits than its factorization.

22572420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 22572420 is about 4751.0440957752. The cubic root of 22572420 is about 282.6133724087.

Adding to 22572420 its reverse (2427522), we get a palindrome (24999942).

The spelling of 22572420 in words is "twenty-two million, five hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 673 780 860 1118 1290 1346 1677 2019 2236 2580 2692 2795 3354 3365 4038 5590 6708 6730 8076 8385 8749 10095 11180 13460 16770 17498 20190 26247 28939 33540 34996 40380 43745 52494 57878 86817 87490 104988 115756 131235 144695 173634 174980 262470 289390 347268 376207 434085 524940 578780 752414 868170 1128621 1504828 1736340 1881035 2257242 3762070 4514484 5643105 7524140 11286210 22572420