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4224000031 = 37415574999
BaseRepresentation
bin1111101111000101…
…0010000000011111
3101220101012102201121
43323301102000133
532122321000111
61535050551411
7206450256616
oct37361220037
911811172647
104224000031
111878379819
1299a738567
1352415ca04
142c0dc287d
1519ac70871
hexfbc5201f

4224000031 has 16 divisors (see below), whose sum is σ = 4452840000. Its totient is φ = 4001598720.

The previous prime is 4224000023. The next prime is 4224000073. The reversal of 4224000031 is 1300004224.

It is a cyclic number.

It is not a de Polignac number, because 4224000031 - 23 = 4224000023 is a prime.

It is a super-3 number, since 3×42240000313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4223999969 and 4224000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224000631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842470 + ... + 847468.

It is an arithmetic number, because the mean of its divisors is an integer number (278302500).

Almost surely, 24224000031 is an apocalyptic number.

4224000031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4224000031 is a deficient number, since it is larger than the sum of its proper divisors (228839969).

4224000031 is a wasteful number, since it uses less digits than its factorization.

4224000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4224000031 is about 64992.3074755774. The cubic root of 4224000031 is about 1616.4960122034.

Adding to 4224000031 its reverse (1300004224), we get a palindrome (5524004255).

The spelling of 4224000031 in words is "four billion, two hundred twenty-four million, thirty-one", and thus it is an aban number.

Divisors: 1 37 41 557 1517 4999 20609 22837 184963 204959 844969 2784443 7583483 103024391 114162163 4224000031