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22563828 = 223271723229
BaseRepresentation
bin101011000010…
…0101111110100
31120110100202100
41112010233310
521234020303
62123342100
7362534520
oct126045764
946410670
1022563828
11118115a1
127681930
1348a03a1
142dd4d80
151eaa8a3
hex1584bf4

22563828 has 144 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 5778432.

The previous prime is 22563803. The next prime is 22563847. The reversal of 22563828 is 82836522.

It is a super-4 number, since 4×225638284 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22563792 and 22563801.

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, 98418 + ... + 98646.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 222563828 is an apocalyptic number.

22563828 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 22563828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

22563828 is an abundant number, since it is smaller than the sum of its proper divisors (49770252).

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

22563828 is a wasteful number, since it uses less digits than its factorization.

22563828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22563828 is about 4750.1397874168. The cubic root of 22563828 is about 282.5775097312.

It can be divided in two parts, 2256 and 3828, that added together give a square (6084 = 782).

The spelling of 22563828 in words is "twenty-two million, five hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 229 238 252 276 306 322 357 391 414 458 476 483 612 644 687 714 782 828 916 966 1071 1173 1374 1428 1449 1564 1603 1932 2061 2142 2346 2737 2748 2898 3206 3519 3893 4122 4284 4692 4809 5267 5474 5796 6412 7038 7786 8211 8244 9618 10534 10948 11679 14076 14427 15572 15801 16422 19236 21068 23358 24633 27251 28854 31602 32844 35037 36869 46716 47403 49266 54502 57708 63204 70074 73738 81753 89539 94806 98532 109004 110607 140148 147476 163506 179078 189612 221214 245259 268617 327012 331821 358156 442428 490518 537234 626773 663642 805851 981036 1074468 1253546 1327284 1611702 1880319 2507092 3223404 3760638 5640957 7521276 11281914 22563828