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231273972 = 22326424277
BaseRepresentation
bin11011100100011…
…11010111110100
3121010011221020200
431302033113310
5433201231342
634541000500
75505540066
oct1562172764
9533157220
10231273972
11109603616
1265553130
1338bb7107
1422a03736
151548594c
hexdc8f5f4

231273972 has 18 divisors (see below), whose sum is σ = 584609298. Its totient is φ = 77091312.

The previous prime is 231273971. The next prime is 231273979. The reversal of 231273972 is 279372132.

It can be written as a sum of positive squares in only one way, i.e., 220344336 + 10929636 = 14844^2 + 3306^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6424277 = 231273972 / (2 + 3 + 1 + 2 + 7 + 3 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231273971) 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 5 ways as a sum of consecutive naturals, for example, 3212103 + ... + 3212174.

Almost surely, 2231273972 is an apocalyptic number.

It is an amenable number.

231273972 is an abundant number, since it is smaller than the sum of its proper divisors (353335326).

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

231273972 is a wasteful number, since it uses less digits than its factorization.

231273972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424287 (or 6424282 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 231273972 is about 15207.6944998248. The cubic root of 231273972 is about 613.8217217699.

The spelling of 231273972 in words is "two hundred thirty-one million, two hundred seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 6424277 12848554 19272831 25697108 38545662 57818493 77091324 115636986 231273972