Search a number
-
+
3233110240 = 255295313147
BaseRepresentation
bin1100000010110101…
…0101100011100000
322100022200000110201
43000231111203200
523110134011430
61252452434544
7143055661243
oct30055254340
98308600421
103233110240
11140a008638
12762918a54
133c6a923a9
1422956725a
1513dc8d8ca
hexc0b558e0

3233110240 has 96 divisors (see below), whose sum is σ = 8051309280. Its totient is φ = 1224996864.

The previous prime is 3233110229. The next prime is 3233110241. The reversal of 3233110240 is 420113323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233110241) 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 15 ways as a sum of consecutive naturals, for example, 239347 + ... + 252493.

It is an arithmetic number, because the mean of its divisors is an integer number (83867805).

Almost surely, 23233110240 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 3233110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025654640).

3233110240 is an abundant number, since it is smaller than the sum of its proper divisors (4818199040).

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

3233110240 is a wasteful number, since it uses less digits than its factorization.

3233110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3233110240 is about 56860.4453025124. The cubic root of 3233110240 is about 1478.6776354875.

Adding to 3233110240 its reverse (420113323), we get a palindrome (3653223563).

The spelling of 3233110240 in words is "three billion, two hundred thirty-three million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 80 106 116 145 160 212 232 265 290 424 464 530 580 848 928 1060 1160 1537 1696 2120 2320 3074 4240 4640 6148 7685 8480 12296 13147 15370 24592 26294 30740 49184 52588 61480 65735 105176 122960 131470 210352 245920 262940 381263 420704 525880 696791 762526 1051760 1393582 1525052 1906315 2103520 2787164 3050104 3483955 3812630 5574328 6100208 6967910 7625260 11148656 12200416 13935820 15250520 20206939 22297312 27871640 30501040 40413878 55743280 61002080 80827756 101034695 111486560 161655512 202069390 323311024 404138780 646622048 808277560 1616555120 3233110240