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20226528 = 2532779127
BaseRepresentation
bin100110100101…
…0000111100000
31102001121120200
41031022013200
520134222103
62001305200
7333631320
oct115120740
942047520
1020226528
1110465543
126935200
13426257a
142987280
151b980a3
hex134a1e0

20226528 has 144 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 5660928.

The previous prime is 20226517. The next prime is 20226529. The reversal of 20226528 is 82562202.

20226528 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 652 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×202265282 = 818224869869568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20226529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159201 + ... + 159327.

It is an arithmetic number, because the mean of its divisors is an integer number (465920).

Almost surely, 220226528 is an apocalyptic number.

20226528 is a gapful number since it is divisible by the number (28) 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 20226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

20226528 is an abundant number, since it is smaller than the sum of its proper divisors (46865952).

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

20226528 is a wasteful number, since it uses less digits than its factorization.

20226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20226528 is about 4497.3912438212. The cubic root of 20226528 is about 272.4627359756.

The spelling of 20226528 in words is "twenty million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 127 144 158 168 224 237 252 254 288 316 336 381 474 504 508 553 632 672 711 762 889 948 1008 1016 1106 1143 1264 1422 1524 1659 1778 1896 2016 2032 2212 2286 2528 2667 2844 3048 3318 3556 3792 4064 4424 4572 4977 5334 5688 6096 6636 7112 7584 8001 8848 9144 9954 10033 10668 11376 12192 13272 14224 16002 17696 18288 19908 20066 21336 22752 26544 28448 30099 32004 36576 39816 40132 42672 53088 60198 64008 70231 79632 80264 85344 90297 120396 128016 140462 159264 160528 180594 210693 240792 256032 280924 321056 361188 421386 481584 561848 632079 722376 842772 963168 1123696 1264158 1444752 1685544 2247392 2528316 2889504 3371088 5056632 6742176 10113264 20226528