Search a number
-
+
3233213696 = 2831537687
BaseRepresentation
bin1100000010110110…
…1110110100000000
322100022212021101102
43000231232310000
523110200314241
61252454553532
7143056601666
oct30055566400
98308767342
103233213696
11140a079339
127629688a8
133c6aca4cb
14229592c36
1513dcae39b
hexc0b6ed00

3233213696 has 72 divisors (see below), whose sum is σ = 6788565504. Its totient is φ = 1534740480.

The previous prime is 3233213693. The next prime is 3233213701. The reversal of 3233213696 is 6963123323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233213693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416765 + ... + 424451.

It is an arithmetic number, because the mean of its divisors is an integer number (94285632).

Almost surely, 23233213696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394282752).

3233213696 is an abundant number, since it is smaller than the sum of its proper divisors (3555351808).

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

3233213696 is an equidigital number, since it uses as much as digits as its factorization.

3233213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7773 counting only the distinct ones).

The product of its digits is 104976, while the sum is 38.

The square root of 3233213696 is about 56861.3550313392. The cubic root of 3233213696 is about 1478.6934073429.

The spelling of 3233213696 in words is "three billion, two hundred thirty-three million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 256 424 496 848 992 1643 1696 1984 3286 3392 3968 6572 6784 7687 7936 13144 13568 15374 26288 30748 52576 61496 105152 122992 210304 238297 245984 407411 420608 476594 491968 814822 953188 983936 1629644 1906376 1967872 3259288 3812752 6518576 7625504 12629741 13037152 15251008 25259482 26074304 30502016 50518964 52148608 61004032 101037928 104297216 202075856 404151712 808303424 1616606848 3233213696