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3228512 = 25722971
BaseRepresentation
bin1100010100001101100000
320002000200112
430110031200
51311303022
6153110452
736304400
oct14241540
96060615
103228512
1119056a1
1210b8428
13890681
14600800
1543b8e2
hex314360

3228512 has 72 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 1317120.

The previous prime is 3228469. The next prime is 3228517. The reversal of 3228512 is 2158223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45437 + ... + 45507.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 23228512 is an apocalyptic number.

3228512 is a gapful number since it is divisible by the number (32) 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 3228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

3228512 is an abundant number, since it is smaller than the sum of its proper divisors (4528048).

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

3228512 is a wasteful number, since it uses less digits than its factorization.

3228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 3228512 is about 1796.8060551991. The cubic root of 3228512 is about 147.7976294250.

The spelling of 3228512 in words is "three million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 71 98 112 116 142 196 203 224 232 284 392 406 464 497 568 784 812 928 994 1136 1421 1568 1624 1988 2059 2272 2842 3248 3479 3976 4118 5684 6496 6958 7952 8236 11368 13916 14413 15904 16472 22736 27832 28826 32944 45472 55664 57652 65888 100891 111328 115304 201782 230608 403564 461216 807128 1614256 3228512