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2231230032 = 243215494653
BaseRepresentation
bin1000010011111101…
…1101111001010000
312202111110020012100
42010333131321100
514032143330112
61005223000400
7106202066553
oct20477357120
95674406170
102231230032
11a45520169
12523299100
13297347475
1417248a69a
15d0d3a2dc
hex84fdde50

2231230032 has 30 divisors (see below), whose sum is σ = 6244345562. Its totient is φ = 743743296.

The previous prime is 2231230009. The next prime is 2231230039. The reversal of 2231230032 is 2300321322.

It is a happy number.

2231230032 is a `hidden beast` number, since 22 + 312 + 300 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2076078096 + 155151936 = 45564^2 + 12456^2 .

It is a super-3 number, since 3×22312300323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231229987 and 2231230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231230039) 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, 7747183 + ... + 7747470.

Almost surely, 22231230032 is an apocalyptic number.

It is an amenable number.

2231230032 is an abundant number, since it is smaller than the sum of its proper divisors (4013115530).

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

2231230032 is a wasteful number, since it uses less digits than its factorization.

2231230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494667 (or 15494658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231230032 is about 47235.8977050294. The cubic root of 2231230032 is about 1306.7167224797.

Adding to 2231230032 its reverse (2300321322), we get a palindrome (4531551354).

The spelling of 2231230032 in words is "two billion, two hundred thirty-one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15494653 30989306 46483959 61978612 92967918 123957224 139451877 185935836 247914448 278903754 371871672 557807508 743743344 1115615016 2231230032