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22652028 = 2233719283
BaseRepresentation
bin101011001101…
…0010001111100
31120121211202000
41112122101330
521244331103
62125302300
7363352620
oct126322174
946554660
1022652028
1111871893
127704990
134901589
143019180
151ec6aa3
hex159a47c

22652028 has 144 divisors (see below), whose sum is σ = 71688960. Its totient is φ = 6057504.

The previous prime is 22652017. The next prime is 22652039. The reversal of 22652028 is 82025622.

22652028 is a `hidden beast` number, since 2 + 2 + 652 + 0 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (22652017) and next prime (22652039).

It is a super-2 number, since 2×226520282 = 1026228745025568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22651992 and 22652010.

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, 272875 + ... + 272957.

It is an arithmetic number, because the mean of its divisors is an integer number (497840).

Almost surely, 222652028 is an apocalyptic number.

22652028 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 22652028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35844480).

22652028 is an abundant number, since it is smaller than the sum of its proper divisors (49036932).

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

22652028 is a wasteful number, since it uses less digits than its factorization.

22652028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

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

The square root of 22652028 is about 4759.4146698938. The cubic root of 22652028 is about 282.9452211604.

The spelling of 22652028 in words is "twenty-two million, six hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 83 84 108 114 126 133 166 171 189 228 249 252 266 332 342 361 378 399 498 513 532 581 684 722 747 756 798 996 1026 1083 1162 1197 1444 1494 1577 1596 1743 2052 2166 2241 2324 2394 2527 2988 3154 3249 3486 3591 4332 4482 4731 4788 5054 5229 6308 6498 6972 7182 7581 8964 9462 9747 10108 10458 11039 12996 14193 14364 15162 15687 18924 19494 20916 22078 22743 28386 29963 30324 31374 33117 38988 42579 44156 45486 56772 59926 62748 66234 68229 85158 89889 90972 99351 119852 132468 136458 170316 179778 198702 209741 269667 272916 298053 359556 397404 419482 539334 596106 629223 809001 838964 1078668 1192212 1258446 1618002 1887669 2516892 3236004 3775338 5663007 7550676 11326014 22652028