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3133230540 = 22351133714087
BaseRepresentation
bin1011101011000001…
…0100110111001100
322002100201121021120
42322300110313030
522404101334130
61234524000540
7140434006626
oct27260246714
98070647246
103133230540
111368699530
12735390150
133ac19158b
1421a1a7c16
1513510e910
hexbac14dcc

3133230540 has 96 divisors (see below), whose sum is σ = 9599675904. Its totient is φ = 757263360.

The previous prime is 3133230539. The next prime is 3133230563. The reversal of 3133230540 is 450323313.

It is a happy number.

3133230540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3133230540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215377 + ... + 229463.

It is an arithmetic number, because the mean of its divisors is an integer number (99996624).

Almost surely, 23133230540 is an apocalyptic number.

3133230540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133230540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799837952).

3133230540 is an abundant number, since it is smaller than the sum of its proper divisors (6466445364).

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

3133230540 is a wasteful number, since it uses less digits than its factorization.

3133230540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14447 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3133230540 is about 55975.2672168700. The cubic root of 3133230540 is about 1463.2912769718.

Adding to 3133230540 its reverse (450323313), we get a palindrome (3583553853).

The spelling of 3133230540 in words is "three billion, one hundred thirty-three million, two hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 337 660 674 1011 1348 1685 2022 3370 3707 4044 5055 6740 7414 10110 11121 14087 14828 18535 20220 22242 28174 37070 42261 44484 55605 56348 70435 74140 84522 111210 140870 154957 169044 211305 222420 281740 309914 422610 464871 619828 774785 845220 929742 1549570 1859484 2324355 3099140 4648710 4747319 9297420 9494638 14241957 18989276 23736595 28483914 47473190 52220509 56967828 71209785 94946380 104441018 142419570 156661527 208882036 261102545 284839140 313323054 522205090 626646108 783307635 1044410180 1566615270 3133230540