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22381128 = 23327112367
BaseRepresentation
bin101010101100…
…0001001001000
31120010002010200
41111120021020
521212144003
62115412200
7361144050
oct125301110
946102120
1022381128
11116a7300
1275b4060
134838193
142d88560
151e716a3
hex1558248

22381128 has 144 divisors (see below), whose sum is σ = 76352640. Its totient is φ = 5797440.

The previous prime is 22381123. The next prime is 22381133. The reversal of 22381128 is 82118322.

It is an interprime number because it is at equal distance from previous prime (22381123) and next prime (22381133).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22381123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60801 + ... + 61167.

Almost surely, 222381128 is an apocalyptic number.

22381128 is a gapful number since it is divisible by the number (28) 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 22381128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38176320).

22381128 is an abundant number, since it is smaller than the sum of its proper divisors (53971512).

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

22381128 is a wasteful number, since it uses less digits than its factorization.

22381128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 22381128 is about 4730.8696874888. The cubic root of 22381128 is about 281.8127623844.

The spelling of 22381128 in words is "twenty-two million, three hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 367 396 462 484 504 616 693 726 734 792 847 924 968 1089 1101 1386 1452 1468 1694 1848 2178 2202 2541 2569 2772 2904 2936 3303 3388 4037 4356 4404 5082 5138 5544 6606 6776 7623 7707 8074 8712 8808 10164 10276 12111 13212 15246 15414 16148 20328 20552 23121 24222 26424 28259 30492 30828 32296 36333 44407 46242 48444 56518 60984 61656 72666 84777 88814 92484 96888 113036 133221 145332 169554 177628 184968 226072 254331 266442 290664 310849 339108 355256 399663 508662 532884 621698 678216 799326 932547 1017324 1065768 1243396 1598652 1865094 2034648 2486792 2797641 3197304 3730188 5595282 7460376 11190564 22381128