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223001640 = 23335206483
BaseRepresentation
bin11010100101010…
…11110000101000
3120112121122202000
431102223300220
5424042023030
634043411000
75345324361
oct1522536050
9515548660
10223001640
11104973484
1262823a60
133727ba44
142188cb68
151489e860
hexd4abc28

223001640 has 64 divisors (see below), whose sum is σ = 743342400. Its totient is φ = 59466816.

The previous prime is 223001633. The next prime is 223001663. The reversal of 223001640 is 46100322.

It is a happy number.

223001640 is a `hidden beast` number, since 2 + 23 + 0 + 0 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102162 + ... + 104321.

It is an arithmetic number, because the mean of its divisors is an integer number (11614725).

Almost surely, 2223001640 is an apocalyptic number.

223001640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223001640 is an abundant number, since it is smaller than the sum of its proper divisors (520340760).

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

223001640 is a wasteful number, since it uses less digits than its factorization.

223001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206503 (or 206493 counting only the distinct ones).

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

The square root of 223001640 is about 14933.2394342286. The cubic root of 223001640 is about 606.4141860193.

Adding to 223001640 its reverse (46100322), we get a palindrome (269101962).

The spelling of 223001640 in words is "two hundred twenty-three million, one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 206483 412966 619449 825932 1032415 1238898 1651864 1858347 2064830 2477796 3097245 3716694 4129660 4955592 5575041 6194490 7433388 8259320 9291735 11150082 12388980 14866776 18583470 22300164 24777960 27875205 37166940 44600328 55750410 74333880 111500820 223001640