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223012000 = 2553127439
BaseRepresentation
bin11010100101011…
…10010010100000
3120112122011221201
431102232102200
5424042341000
634043530544
75345366521
oct1522562240
9515564851
10223012000
11104980242
1262829a54
1337283683
1421892848
15148a296a
hexd4ae4a0

223012000 has 96 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 88300800.

The previous prime is 223011991. The next prime is 223012003. The reversal of 223012000 is 210322.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (223012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507781 + ... + 508219.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2223012000 is an apocalyptic number.

223012000 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 223012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

223012000 is an abundant number, since it is smaller than the sum of its proper divisors (330500960).

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

223012000 is a wasteful number, since it uses less digits than its factorization.

223012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 223012000 is about 14933.5863073811. The cubic root of 223012000 is about 606.4235766134.

Adding to 223012000 its reverse (210322), we get a palindrome (223222322).

The spelling of 223012000 in words is "two hundred twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 439 500 508 635 800 878 1000 1016 1270 1756 2000 2032 2195 2540 3175 3512 4000 4064 4390 5080 6350 7024 8780 10160 10975 12700 14048 15875 17560 20320 21950 25400 31750 35120 43900 50800 54875 55753 63500 70240 87800 101600 109750 111506 127000 175600 219500 223012 254000 278765 351200 439000 446024 508000 557530 878000 892048 1115060 1393825 1756000 1784096 2230120 2787650 4460240 5575300 6969125 8920480 11150600 13938250 22301200 27876500 44602400 55753000 111506000 223012000