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23144310 = 23257172161
BaseRepresentation
bin101100001001…
…0011101110110
31121112212000200
41120102131312
521411104220
62144021330
7400503060
oct130223566
947485020
1023144310
1112078732
127901846
134a44677
143106730
152072890
hex1612776

23144310 has 96 divisors (see below), whose sum is σ = 72850752. Its totient is φ = 4976640.

The previous prime is 23144273. The next prime is 23144311. The reversal of 23144310 is 1344132.

23144310 is a `hidden beast` number, since 231 + 4 + 431 + 0 = 666.

It is a super-2 number, since 2×231443102 = 1071318170752200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144311) 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 47 ways as a sum of consecutive naturals, for example, 9630 + ... + 11790.

It is an arithmetic number, because the mean of its divisors is an integer number (758862).

Almost surely, 223144310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36425376).

23144310 is an abundant number, since it is smaller than the sum of its proper divisors (49706442).

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

23144310 is a wasteful number, since it uses less digits than its factorization.

23144310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23144310 is about 4810.8533546555. The cubic root of 23144310 is about 284.9802387037.

Adding to 23144310 its reverse (1344132), we get a palindrome (24488442).

The spelling of 23144310 in words is "twenty-three million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 2161 3570 4322 5355 6483 10710 10805 12966 15127 19449 21610 30254 32415 36737 38898 45381 64830 73474 75635 90762 97245 110211 136143 151270 183685 194490 220422 226905 257159 272286 330633 367370 453810 514318 551055 661266 680715 771477 1102110 1285795 1361430 1542954 1653165 2314431 2571590 3306330 3857385 4628862 7714770 11572155 23144310