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103228704 = 25322271579
BaseRepresentation
bin1100010011100…
…10010100100000
321012020120011100
412021302110200
5202411304304
614124314400
72362300215
oct611622440
9235216140
10103228704
11532a7287
122a6a2a00
1318504297
14d9d1b0c
1590e1439
hex6272520

103228704 has 72 divisors (see below), whose sum is σ = 295036560. Its totient is φ = 34236288.

The previous prime is 103228703. The next prime is 103228711. The reversal of 103228704 is 407822301.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (103228703) 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, 64587 + ... + 66165.

It is an arithmetic number, because the mean of its divisors is an integer number (4097730).

Almost surely, 2103228704 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 103228704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147518280).

103228704 is an abundant number, since it is smaller than the sum of its proper divisors (191807856).

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

103228704 is a wasteful number, since it uses less digits than its factorization.

103228704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 103228704 is about 10160.1527547572. The cubic root of 103228704 is about 469.1015036039.

The spelling of 103228704 in words is "one hundred three million, two hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1362 1579 1816 2043 2724 3158 3632 4086 4737 5448 6316 7264 8172 9474 10896 12632 14211 16344 18948 21792 25264 28422 32688 37896 50528 56844 65376 75792 113688 151584 227376 358433 454752 716866 1075299 1433732 2150598 2867464 3225897 4301196 5734928 6451794 8602392 11469856 12903588 17204784 25807176 34409568 51614352 103228704