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23113440 = 2532572293
BaseRepresentation
bin101100000101…
…0111011100000
31121111021200100
41120022323200
521404112230
62143222400
7400314060
oct130127340
947437610
1023113440
1112057519
1278a7a00
134a335bc
1430d93a0
152068660
hex160aee0

23113440 has 144 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 5280768.

The previous prime is 23113417. The next prime is 23113471. The reversal of 23113440 is 4431132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×231134402 = 1068462217267200, 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8934 + ... + 11226.

It is an arithmetic number, because the mean of its divisors is an integer number (626262).

Almost surely, 223113440 is an apocalyptic number.

23113440 is a gapful number since it is divisible by the number (20) 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 23113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

23113440 is an abundant number, since it is smaller than the sum of its proper divisors (67068288).

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

23113440 is a wasteful number, since it uses less digits than its factorization.

23113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2310 counting only the distinct ones).

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

The square root of 23113440 is about 4807.6439136026. The cubic root of 23113440 is about 284.8534796258.

Adding to 23113440 its reverse (4431132), we get a palindrome (27544572).

The spelling of 23113440 in words is "twenty-three million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2293 2520 3360 4586 5040 6879 9172 10080 11465 13758 16051 18344 20637 22930 27516 32102 34395 36688 41274 45860 48153 55032 64204 68790 73376 80255 82548 91720 96306 103185 110064 128408 137580 144459 160510 165096 183440 192612 206370 220128 240765 256816 275160 288918 321020 330192 366880 385224 412740 481530 513632 550320 577836 642040 660384 722295 770448 825480 963060 1100640 1155672 1284080 1444590 1540896 1650960 1926120 2311344 2568160 2889180 3301920 3852240 4622688 5778360 7704480 11556720 23113440