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22533056 = 267135373
BaseRepresentation
bin101010111110…
…1001111000000
31120101210112122
41111331033000
521232024211
62122543412
7362346020
oct125751700
946353478
1022533056
11117a0467
127667b68
13488c390
142dc7a80
151ea16db
hex157d3c0

22533056 has 112 divisors (see below), whose sum is σ = 56839104. Its totient is φ = 8626176.

The previous prime is 22533047. The next prime is 22533059. The reversal of 22533056 is 65033522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×225330562 = 1015477225398272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22533059) 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 15 ways as a sum of consecutive naturals, for example, 308636 + ... + 308708.

It is an arithmetic number, because the mean of its divisors is an integer number (507492).

Almost surely, 222533056 is an apocalyptic number.

22533056 is a gapful number since it is divisible by the number (26) 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 22533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28419552).

22533056 is an abundant number, since it is smaller than the sum of its proper divisors (34306048).

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

22533056 is a wasteful number, since it uses less digits than its factorization.

22533056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 22533056 is about 4746.8996197518. The cubic root of 22533056 is about 282.4489938455.

Adding to 22533056 its reverse (65033522), we get a palindrome (87566578).

The spelling of 22533056 in words is "twenty-two million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 73 91 104 106 112 146 182 208 212 224 292 364 371 416 424 448 511 584 689 728 742 832 848 949 1022 1168 1378 1456 1484 1696 1898 2044 2336 2756 2912 2968 3392 3796 3869 4088 4672 4823 5512 5824 5936 6643 7592 7738 8176 9646 11024 11872 13286 15184 15476 16352 19292 22048 23744 26572 27083 30368 30952 32704 38584 44096 50297 53144 54166 60736 61904 77168 100594 106288 108332 123808 154336 201188 212576 216664 247616 308672 352079 402376 425152 433328 704158 804752 866656 1408316 1609504 1733312 2816632 3219008 5633264 11266528 22533056