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22745268 = 223271353131
BaseRepresentation
bin101011011000…
…1000010110100
31120210120122100
41112301002310
521310322033
62131302100
7364221510
oct126610264
946716570
1022745268
1111925947
12774a930
134934b50
143041140
151ee4513
hex15b10b4

22745268 has 144 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 5840640.

The previous prime is 22745257. The next prime is 22745287. The reversal of 22745268 is 86254722.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173563 + ... + 173693.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 222745268 is an apocalyptic number.

22745268 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 22745268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

22745268 is an abundant number, since it is smaller than the sum of its proper divisors (49903308).

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

22745268 is a wasteful number, since it uses less digits than its factorization.

22745268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22745268 is about 4769.1999329028. The cubic root of 22745268 is about 283.3329082654.

The spelling of 22745268 in words is "twenty-two million, seven hundred forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 131 156 159 182 212 234 252 262 273 318 364 371 393 468 477 524 546 636 689 742 786 819 917 954 1092 1113 1179 1378 1484 1572 1638 1703 1834 1908 2067 2226 2358 2751 2756 3276 3339 3406 3668 4134 4452 4716 4823 5109 5502 6201 6678 6812 6943 8253 8268 9646 10218 11004 11921 12402 13356 13886 14469 15327 16506 19292 20436 20829 23842 24804 27772 28938 30654 33012 35763 41658 43407 47684 48601 57876 61308 62487 71526 83316 86814 90259 97202 107289 124974 143052 145803 173628 180518 194404 214578 249948 270777 291606 361036 429156 437409 541554 583212 631813 812331 874818 1083108 1263626 1624662 1749636 1895439 2527252 3249324 3790878 5686317 7581756 11372634 22745268