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22514052 = 223111779127
BaseRepresentation
bin101010111100…
…0100110000100
31120100211110210
41111320212010
521230422202
62122315420
7362236431
oct125704604
946324423
1022514052
1111788160
127658b70
134883832
142dc0b88
151e9ac6c
hex1578984

22514052 has 96 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 6289920.

The previous prime is 22514021. The next prime is 22514057. The reversal of 22514052 is 25041522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22514057) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177213 + ... + 177339.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 222514052 is an apocalyptic number.

22514052 is a gapful number since it is divisible by the number (22) 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 22514052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

22514052 is an abundant number, since it is smaller than the sum of its proper divisors (39417468).

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

22514052 is a wasteful number, since it uses less digits than its factorization.

22514052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 22514052 is about 4744.8974699144. The cubic root of 22514052 is about 282.3695672706.

Adding to 22514052 its reverse (25041522), we get a palindrome (47555574).

The spelling of 22514052 in words is "twenty-two million, five hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 79 102 127 132 158 187 204 237 254 316 374 381 474 508 561 748 762 869 948 1122 1343 1397 1524 1738 2159 2244 2607 2686 2794 3476 4029 4191 4318 5214 5372 5588 6477 8058 8382 8636 10033 10428 12954 14773 16116 16764 20066 23749 25908 29546 30099 40132 44319 47498 59092 60198 71247 88638 94996 110363 120396 142494 170561 177276 220726 284988 331089 341122 441452 511683 662178 682244 1023366 1324356 1876171 2046732 3752342 5628513 7504684 11257026 22514052