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223222000072 = 2343719139453
BaseRepresentation
bin1100111111100100010…
…0010110100111001000
3210100011201120111221011
43033321010112213020
512124124313000242
6250314034053304
722061435460061
oct3177104264710
9710151514834
10223222000072
1186738aaa5a5
123731871a234
1318085399216
14ab3827b568
155c16ed6d17
hex33f91169c8

223222000072 has 32 divisors (see below), whose sum is σ = 434306854080. Its totient is φ = 107479955520.

The previous prime is 223222000033. The next prime is 223222000091. The reversal of 223222000072 is 270000222322.

It is a happy number.

223222000072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232220000723 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4545303 + ... + 4594150.

It is an arithmetic number, because the mean of its divisors is an integer number (13572089190).

Almost surely, 2223222000072 is an apocalyptic number.

223222000072 is the 252543-rd centered heptagonal number.

It is an amenable number.

223222000072 is a deficient number, since it is larger than the sum of its proper divisors (211084854008).

223222000072 is a wasteful number, since it uses less digits than its factorization.

223222000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139573 (or 9139569 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

Adding to 223222000072 its reverse (270000222322), we get a palindrome (493222222394).

The spelling of 223222000072 in words is "two hundred twenty-three billion, two hundred twenty-two million, seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 43 71 86 142 172 284 344 568 3053 6106 12212 24424 9139453 18278906 36557812 73115624 392996479 648901163 785992958 1297802326 1571985916 2595604652 3143971832 5191209304 27902750009 55805500018 111611000036 223222000072