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23112240 = 2435235379
BaseRepresentation
bin101100000101…
…0101000110000
31121111020000220
41120022220300
521404042430
62143213040
7400310424
oct130125060
947436026
1023112240
1112056628
1278a7180
134a32ba8
1430d8b84
152068110
hex160aa30

23112240 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5710848.

The previous prime is 23112239. The next prime is 23112269. The reversal of 23112240 is 4221132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292521 + ... + 292599.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 223112240 is an apocalyptic number.

23112240 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 23112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

23112240 is an abundant number, since it is smaller than the sum of its proper divisors (54025680).

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

23112240 is a wasteful number, since it uses less digits than its factorization.

23112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23112240 is about 4807.5191107264. The cubic root of 23112240 is about 284.8485498809.

Adding to 23112240 its reverse (4221132), we get a palindrome (27333372).

The spelling of 23112240 in words is "twenty-three million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 53 60 69 79 80 92 106 115 120 138 158 159 184 212 230 237 240 265 276 316 318 345 368 395 424 460 474 530 552 632 636 690 790 795 848 920 948 1060 1104 1185 1219 1264 1272 1380 1580 1590 1817 1840 1896 2120 2370 2438 2544 2760 3160 3180 3634 3657 3792 4187 4240 4740 4876 5451 5520 6095 6320 6360 7268 7314 8374 9085 9480 9752 10902 12190 12561 12720 14536 14628 16748 18170 18285 18960 19504 20935 21804 24380 25122 27255 29072 29256 33496 36340 36570 41870 43608 48760 50244 54510 58512 62805 66992 72680 73140 83740 87216 96301 97520 100488 109020 125610 145360 146280 167480 192602 200976 218040 251220 288903 292560 334960 385204 436080 481505 502440 577806 770408 963010 1004880 1155612 1444515 1540816 1926020 2311224 2889030 3852040 4622448 5778060 7704080 11556120 23112240