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22281084 = 22327217743
BaseRepresentation
bin101010011111…
…1101101111100
31112220222220100
41110333231330
521200443314
62113321100
7360246300
oct124775574
945828810
1022281084
1111639121
127566190
134801797
142d5dd00
151e51c09
hex153fb7c

22281084 has 108 divisors (see below), whose sum is σ = 69464304. Its totient is φ = 5983488.

The previous prime is 22281073. The next prime is 22281109. The reversal of 22281084 is 48018222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29617 + ... + 30359.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 222281084 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 22281084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152).

22281084 is an abundant number, since it is smaller than the sum of its proper divisors (47183220).

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

22281084 is a wasteful number, since it uses less digits than its factorization.

22281084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22281084 is about 4720.2843134710. The cubic root of 22281084 is about 281.3922326511.

The spelling of 22281084 in words is "twenty-two million, two hundred eighty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 743 833 882 1071 1428 1486 1666 1764 2142 2229 2499 2972 3332 4284 4458 4998 5201 6687 7497 8916 9996 10402 12631 13374 14994 15603 20804 25262 26748 29988 31206 36407 37893 46809 50524 62412 72814 75786 88417 93618 109221 113679 145628 151572 176834 187236 218442 227358 265251 327663 353668 436884 454716 530502 618919 655326 795753 1061004 1237838 1310652 1591506 1856757 2475676 3183012 3713514 5570271 7427028 11140542 22281084