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2232000031 = 31591936323
BaseRepresentation
bin1000010100001001…
…1001111000011111
312202112220100102211
42011002121320133
514032343000111
61005251301251
7106211454502
oct20502317037
95675810384
102232000031
11a459a6728
125235aa827
13297556aa1
1417260b139
15d0e3d521
hex85099e1f

2232000031 has 16 divisors (see below), whose sum is σ = 2355563520. Its totient is φ = 2112053760.

The previous prime is 2232000019. The next prime is 2232000037. The reversal of 2232000031 is 1300002322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2232000031 - 25 = 2231999999 is a prime.

It is a super-3 number, since 3×22320000313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231999975 and 2232000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232000037) 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, 349836 + ... + 356158.

It is an arithmetic number, because the mean of its divisors is an integer number (147222720).

Almost surely, 22232000031 is an apocalyptic number.

2232000031 is a deficient number, since it is larger than the sum of its proper divisors (123563489).

2232000031 is a wasteful number, since it uses less digits than its factorization.

2232000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2232000031 is about 47244.0475721545. The cubic root of 2232000031 is about 1306.8670214678.

Adding to 2232000031 its reverse (1300002322), we get a palindrome (3532002353).

The spelling of 2232000031 in words is "two billion, two hundred thirty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 31 59 193 1829 5983 6323 11387 196013 352997 373057 1220339 11564767 37830509 72000001 2232000031