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22277268 = 2235134143
BaseRepresentation
bin101010011111…
…0110010010100
31112220210200000
41110332302110
521200333033
62113251300
7360232206
oct124766224
945823600
1022277268
1111636272
127563b30
1347ccb20
142d5c776
151e50a13
hex153ec94

22277268 has 144 divisors (see below), whose sum is σ = 65921856. Its totient is φ = 6531840.

The previous prime is 22277263. The next prime is 22277273. The reversal of 22277268 is 86277222.

It is an interprime number because it is at equal distance from previous prime (22277263) and next prime (22277273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22277263) 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, 518055 + ... + 518097.

Almost surely, 222277268 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 22277268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32960928).

22277268 is an abundant number, since it is smaller than the sum of its proper divisors (43644588).

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

22277268 is a wasteful number, since it uses less digits than its factorization.

22277268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 22277268 is about 4719.8800832225. The cubic root of 22277268 is about 281.3761673935.

The spelling of 22277268 in words is "twenty-two million, two hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 43 52 54 78 81 82 86 108 117 123 129 156 162 164 172 234 243 246 258 324 351 369 387 468 486 492 516 533 559 702 738 774 972 1053 1066 1107 1118 1161 1404 1476 1548 1599 1677 1763 2106 2132 2214 2236 2322 3159 3198 3321 3354 3483 3526 4212 4428 4644 4797 5031 5289 6318 6396 6642 6708 6966 7052 9594 9963 10062 10449 10578 12636 13284 13932 14391 15093 15867 19188 19926 20124 20898 21156 22919 28782 30186 31734 39852 41796 43173 45279 45838 47601 57564 60372 63468 68757 86346 90558 91676 95202 129519 135837 137514 142803 172692 181116 190404 206271 259038 271674 275028 285606 412542 428409 518076 543348 571212 618813 825084 856818 1237626 1713636 1856439 2475252 3712878 5569317 7425756 11138634 22277268