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2214224000031 = 32321997011187
BaseRepresentation
bin100000001110001010000…
…010001111010000011111
321211200022002002121022110
4200032022002033100133
5242234212321000111
64413111144445103
7315654351313641
oct40161202172037
97750262077273
102214224000031
117840577a580a
122b916b179793
13130a537006c4
1479251ab6891
153c8e50805a6
hex2038a08f41f

2214224000031 has 24 divisors (see below), whose sum is σ = 3101749571200. Its totient is φ = 1404873405936.

The previous prime is 2214224000029. The next prime is 2214224000069. The reversal of 2214224000031 is 1300004224122.

It is not a de Polignac number, because 2214224000031 - 21 = 2214224000029 is a prime.

It is a super-2 number, since 2×22142240000312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2214223999971 and 2214224000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214224000731) 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 23 ways as a sum of consecutive naturals, for example, 3189781 + ... + 3821406.

Almost surely, 22214224000031 is an apocalyptic number.

2214224000031 is a deficient number, since it is larger than the sum of its proper divisors (887525571169).

2214224000031 is a wasteful number, since it uses less digits than its factorization.

2214224000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011435 (or 7011412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2214224000031 its reverse (1300004224122), we get a palindrome (3514228224153).

The spelling of 2214224000031 in words is "two trillion, two hundred fourteen billion, two hundred twenty-four million, thirty-one", and thus it is an aban number.

Divisors: 1 3 23 69 199 529 597 1587 4577 13731 105271 315813 7011187 21033561 161257301 483771903 1395226213 3708917923 4185678639 11126753769 32090202899 96270608697 738074666677 2214224000031