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22326252 = 223132101109
BaseRepresentation
bin101010100101…
…0101111101100
31120000021212020
41111022233230
521203420002
62114310140
7360525054
oct125125754
946007766
1022326252
111166a053
127588350
134819200
142d72564
151e602bc
hex154abec

22326252 has 72 divisors (see below), whose sum is σ = 57491280. Its totient is φ = 6739200.

The previous prime is 22326251. The next prime is 22326257. The reversal of 22326252 is 25262322.

It is a super-3 number, since 3×223262523 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22326251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204774 + ... + 204882.

It is an arithmetic number, because the mean of its divisors is an integer number (798490).

Almost surely, 222326252 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 22326252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745640).

22326252 is an abundant number, since it is smaller than the sum of its proper divisors (35165028).

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

22326252 is a wasteful number, since it uses less digits than its factorization.

22326252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 22326252 is about 4725.0663487405. The cubic root of 22326252 is about 281.5822495214.

Adding to 22326252 its reverse (25262322), we get a palindrome (47588574).

It can be divided in two parts, 22326 and 252, that added together give a triangular number (22578 = T212).

The spelling of 22326252 in words is "twenty-two million, three hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 109 156 169 202 218 303 327 338 404 436 507 606 654 676 1014 1212 1308 1313 1417 2028 2626 2834 3939 4251 5252 5668 7878 8502 11009 15756 17004 17069 18421 22018 33027 34138 36842 44036 51207 55263 66054 68276 73684 102414 110526 132108 143117 204828 221052 286234 429351 572468 858702 1717404 1860521 3721042 5581563 7442084 11163126 22326252