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28222524 = 22321131931
BaseRepresentation
bin110101110101…
…0010000111100
31222002212000200
41223222100330
524211110044
62444523500
7461613261
oct153522074
958085020
1028222524
1114a27000
129550590
135b01c25
143a69268
152727369
hex1aea43c

28222524 has 144 divisors (see below), whose sum is σ = 85263360. Its totient is φ = 7840800.

The previous prime is 28222517. The next prime is 28222529. The reversal of 28222524 is 42522282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28222529) by changing a digit.

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, 910389 + ... + 910419.

Almost surely, 228222524 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 28222524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631680).

28222524 is an abundant number, since it is smaller than the sum of its proper divisors (57040836).

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

28222524 is a wasteful number, since it uses less digits than its factorization.

28222524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 28222524 is about 5312.4875529266. The cubic root of 28222524 is about 304.4611968965.

The spelling of 28222524 in words is "twenty-eight million, two hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 38 44 57 62 66 76 93 99 114 121 124 132 171 186 198 209 228 242 279 341 342 363 372 396 418 484 558 589 627 682 684 726 836 1023 1089 1116 1178 1254 1331 1364 1452 1767 1881 2046 2178 2299 2356 2508 2662 3069 3534 3751 3762 3993 4092 4356 4598 5301 5324 6138 6479 6897 7068 7502 7524 7986 9196 10602 11253 11979 12276 12958 13794 15004 15972 19437 20691 21204 22506 23958 25289 25916 27588 33759 38874 41261 41382 45012 47916 50578 58311 67518 71269 75867 77748 82522 82764 101156 116622 123783 135036 142538 151734 165044 213807 227601 233244 247566 285076 303468 371349 427614 455202 495132 641421 742698 783959 855228 910404 1282842 1485396 1567918 2351877 2565684 3135836 4703754 7055631 9407508 14111262 28222524