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3225414312 = 2332193796221
BaseRepresentation
bin1100000000111111…
…1110101010101000
322022210012000122100
43000033332222220
523101201224222
61252015453400
7142633366161
oct30017765250
98283160570
103225414312
11140573156a
12760227260
133c52c94a3
14228522768
1513d26d4ac
hexc03feaa8

3225414312 has 96 divisors (see below), whose sum is σ = 9221004000. Its totient is φ = 1015701120.

The previous prime is 3225414289. The next prime is 3225414323. The reversal of 3225414312 is 2134145223.

3225414312 is a `hidden beast` number, since 3 + 225 + 4 + 1 + 431 + 2 = 666.

3225414312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515362 + ... + 521582.

It is an arithmetic number, because the mean of its divisors is an integer number (96052125).

Almost surely, 23225414312 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 3225414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610502000).

3225414312 is an abundant number, since it is smaller than the sum of its proper divisors (5995589688).

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

3225414312 is a wasteful number, since it uses less digits than its factorization.

3225414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6624 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3225414312 is about 56792.7311546117. The cubic root of 3225414312 is about 1477.5034474741.

Adding to 3225414312 its reverse (2134145223), we get a palindrome (5359559535).

The spelling of 3225414312 in words is "three billion, two hundred twenty-five million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 379 456 684 758 1137 1368 1516 2274 3032 3411 4548 6221 6822 7201 9096 12442 13644 14402 18663 21603 24884 27288 28804 37326 43206 49768 55989 57608 64809 74652 86412 111978 118199 129618 149304 172824 223956 236398 259236 354597 447912 472796 518472 709194 945592 1063791 1418388 2127582 2357759 2836776 4255164 4715518 7073277 8510328 9431036 14146554 18862072 21219831 28293108 42439662 44797421 56586216 84879324 89594842 134392263 169758648 179189684 268784526 358379368 403176789 537569052 806353578 1075138104 1612707156 3225414312