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223140000 = 253543719
BaseRepresentation
bin11010100110011…
…01100010100000
3120112212200112110
431103031202200
5424110440000
634050355320
75346441636
oct1523154240
9515780473
10223140000
11104a58426
126288bb40
13372c9a05
14218c7356
15148ca850
hexd4cd8a0

223140000 has 120 divisors (see below), whose sum is σ = 732140640. Its totient is φ = 59488000.

The previous prime is 223139981. The next prime is 223140023. The reversal of 223140000 is 41322.

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

It is a super-3 number, since 3×2231400003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58141 + ... + 61859.

It is an arithmetic number, because the mean of its divisors is an integer number (6101172).

Almost surely, 2223140000 is an apocalyptic number.

223140000 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 223140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366070320).

223140000 is an abundant number, since it is smaller than the sum of its proper divisors (509000640).

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

223140000 is an equidigital number, since it uses as much as digits as its factorization.

223140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223140000 is about 14937.8713342966. The cubic root of 223140000 is about 606.5395754115.

Adding to 223140000 its reverse (41322), we get a palindrome (223181322).

The spelling of 223140000 in words is "two hundred twenty-three million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3719 3750 4000 5000 6000 7438 7500 10000 11157 12000 14876 15000 18595 20000 22314 29752 30000 37190 44628 55785 59504 60000 74380 89256 92975 111570 119008 148760 178512 185950 223140 278925 297520 357024 371900 446280 464875 557850 595040 743800 892560 929750 1115700 1394625 1487600 1785120 1859500 2231400 2324375 2789250 2975200 3719000 4462800 4648750 5578500 6973125 7438000 8925600 9297500 11157000 13946250 14876000 18595000 22314000 27892500 37190000 44628000 55785000 74380000 111570000 223140000