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20225436 = 22372115359
BaseRepresentation
bin100110100100…
…1110110011100
31102001120002020
41031021312130
520134203221
62001300140
7333625200
oct115116634
942046066
1020225436
1110464740
126934650
134261c1a
142986b00
151b97ac6
hex1349d9c

20225436 has 144 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 5066880.

The previous prime is 20225419. The next prime is 20225477. The reversal of 20225436 is 63452202.

It is a super-2 number, since 2×202254362 = 818136522780192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342775 + ... + 342833.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 220225436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

20225436 is an abundant number, since it is smaller than the sum of its proper divisors (41827044).

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

20225436 is a wasteful number, since it uses less digits than its factorization.

20225436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20225436 is about 4497.2698384687. The cubic root of 20225436 is about 272.4578326021.

Adding to 20225436 its reverse (63452202), we get a palindrome (83677638).

It can be divided in two parts, 20 and 225436, that added together give a triangular number (225456 = T671).

The spelling of 20225436 in words is "twenty million, two hundred twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 59 66 77 84 98 106 118 132 147 154 159 177 196 212 231 236 294 308 318 354 371 413 462 539 583 588 636 649 708 742 826 924 1078 1113 1166 1239 1298 1484 1617 1652 1749 1947 2156 2226 2332 2478 2596 2597 2891 3127 3234 3498 3894 4081 4452 4543 4956 5194 5782 6254 6468 6996 7788 7791 8162 8673 9086 9381 10388 11564 12243 12508 13629 15582 16324 17346 18172 18762 21889 24486 27258 28567 31164 31801 34397 34692 37524 43778 48972 54516 57134 63602 65667 68794 85701 87556 95403 103191 114268 127204 131334 137588 153223 171402 190806 206382 240779 262668 306446 342804 381612 412764 459669 481558 612892 722337 919338 963116 1444674 1685453 1838676 2889348 3370906 5056359 6741812 10112718 20225436