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10546228 = 2271197353
BaseRepresentation
bin101000001110…
…110000110100
3201211210201001
4220032300310
510144434403
61014013044
7155433010
oct50166064
921753631
1010546228
115a535a0
123647184
132253394
141587540
15dd4c1d
hexa0ec34

10546228 has 48 divisors (see below), whose sum is σ = 23313024. Its totient is φ = 4055040.

The previous prime is 10546219. The next prime is 10546243. The reversal of 10546228 is 82264501.

It is a super-2 number, since 2×105462282 = 222445850055968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10546196 and 10546205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29700 + ... + 30052.

It is an arithmetic number, because the mean of its divisors is an integer number (485688).

Almost surely, 210546228 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 10546228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656512).

10546228 is an abundant number, since it is smaller than the sum of its proper divisors (12766796).

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

10546228 is a wasteful number, since it uses less digits than its factorization.

10546228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10546228 is about 3247.4956504975. The cubic root of 10546228 is about 219.2968459140.

The spelling of 10546228 in words is "ten million, five hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 353 388 679 706 1067 1358 1412 2134 2471 2716 3883 4268 4942 7469 7766 9884 14938 15532 27181 29876 34241 54362 68482 108724 136964 239687 376651 479374 753302 958748 1506604 2636557 5273114 10546228