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223500240 = 24325437219
BaseRepresentation
bin11010101001001…
…01011111010000
3120120112222200200
431110211133100
5424204001430
634102215200
75352502125
oct1524453720
9516488620
10223500240
11105184047
1262a24500
13373c4982
142197c74c
151494c460
hexd5257d0

223500240 has 120 divisors (see below), whose sum is σ = 768150240. Its totient is φ = 58205952.

The previous prime is 223500217. The next prime is 223500259. The reversal of 223500240 is 42005322.

223500240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27351 + ... + 34569.

It is an arithmetic number, because the mean of its divisors is an integer number (6401252).

Almost surely, 2223500240 is an apocalyptic number.

223500240 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 223500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384075120).

223500240 is an abundant number, since it is smaller than the sum of its proper divisors (544650000).

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

223500240 is a wasteful number, since it uses less digits than its factorization.

223500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 223500240 is about 14949.9244145246. The cubic root of 223500240 is about 606.8658016059.

Adding to 223500240 its reverse (42005322), we get a palindrome (265505562).

The spelling of 223500240 in words is "two hundred twenty-three million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7219 7740 10320 14438 15480 21657 28876 30960 36095 43314 57752 64971 72190 86628 108285 115504 129942 144380 173256 216570 259884 288760 310417 324855 346512 433140 519768 577520 620834 649710 866280 931251 1039536 1241668 1299420 1552085 1732560 1862502 2483336 2598840 2793753 3104170 3725004 4656255 4966672 5197680 5587506 6208340 7450008 9312510 11175012 12416680 13968765 14900016 18625020 22350024 24833360 27937530 37250040 44700048 55875060 74500080 111750120 223500240