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23102442 = 23311192389
BaseRepresentation
bin101100000100…
…0001111101010
31121110201121000
41120020033222
521403234232
62143055430
7400240026
oct130101752
947421530
1023102442
111204a230
1278a1576
134a2b5ac
1430d5386
15206527c
hex16083ea

23102442 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 6272640.

The previous prime is 23102413. The next prime is 23102449. The reversal of 23102442 is 24420132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23102449) 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 63 ways as a sum of consecutive naturals, for example, 259534 + ... + 259622.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 223102442 is an apocalyptic number.

23102442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 4806×4807.

It is a practical number, because each smaller number is the sum of distinct divisors of 23102442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

23102442 is an abundant number, since it is smaller than the sum of its proper divisors (39105558).

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

23102442 is a wasteful number, since it uses less digits than its factorization.

23102442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23102442 is about 4806.4999739936. The cubic root of 23102442 is about 284.8082921275.

Adding to 23102442 its reverse (24420132), we get a palindrome (47522574).

The spelling of 23102442 in words is "twenty-three million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 89 99 114 138 171 178 198 207 209 253 267 297 342 414 418 437 506 513 534 594 621 627 759 801 874 979 1026 1242 1254 1311 1518 1602 1691 1881 1958 2047 2277 2403 2622 2937 3382 3762 3933 4094 4554 4806 4807 5073 5643 5874 6141 6831 7866 8811 9614 10146 11286 11799 12282 13662 14421 15219 17622 18423 18601 22517 23598 26433 28842 30438 36846 37202 38893 43263 45034 45657 52866 55269 55803 67551 77786 86526 91314 110538 111606 116679 129789 135102 167409 202653 233358 259578 334818 350037 405306 427823 502227 607959 700074 855646 1004454 1050111 1215918 1283469 2100222 2566938 3850407 7700814 11551221 23102442