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22132264 = 23711193161
BaseRepresentation
bin101010001101…
…1011000101000
31112122102202111
41110123120220
521131213024
62110212104
7356056360
oct124333050
945572674
1022132264
1111547330
1274b4034
13477bb1b
142d219a0
151e22a94
hex151b628

22132264 has 128 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 7776000.

The previous prime is 22132261. The next prime is 22132267. The reversal of 22132264 is 46223122.

It is an interprime number because it is at equal distance from previous prime (22132261) and next prime (22132267).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22132261) 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, 362794 + ... + 362854.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 222132264 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 22132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

22132264 is an abundant number, since it is smaller than the sum of its proper divisors (35006936).

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

22132264 is a wasteful number, since it uses less digits than its factorization.

22132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 22132264 is about 4704.4940216776. The cubic root of 22132264 is about 280.7643401874.

Adding to 22132264 its reverse (46223122), we get a palindrome (68355386).

The spelling of 22132264 in words is "twenty-two million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 31 38 44 56 61 62 76 77 88 122 124 133 152 154 209 217 244 248 266 308 341 418 427 434 488 532 589 616 671 682 836 854 868 1064 1159 1178 1342 1364 1463 1672 1708 1736 1891 2318 2356 2387 2684 2728 2926 3416 3782 4123 4636 4697 4712 4774 5368 5852 6479 7564 8113 8246 9272 9394 9548 11704 12749 12958 13237 15128 16226 16492 18788 19096 20801 25498 25916 26474 32452 32984 35929 37576 41602 45353 50996 51832 52948 64904 71858 83204 89243 90706 101992 105896 143716 145607 166408 178486 181412 251503 287432 291214 356972 362824 395219 503006 582428 713944 790438 1006012 1164856 1580876 2012024 2766533 3161752 5533066 11066132 22132264