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223866828 = 22344761241
BaseRepresentation
bin11010101011111…
…10111111001100
3120121020121120000
431111332333030
5424302214303
634114124300
75355556653
oct1525767714
9517217500
10223866828
11105404509
1262b80690
13374c27a3
1421a3619a
15149c0da3
hexd57efcc

223866828 has 120 divisors (see below), whose sum is σ = 610002624. Its totient is φ = 71539200.

The previous prime is 223866823. The next prime is 223866833. The reversal of 223866828 is 828668322.

It is an interprime number because it is at equal distance from previous prime (223866823) and next prime (223866833).

It is not an unprimeable number, because it can be changed into a prime (223866823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 928788 + ... + 929028.

Almost surely, 2223866828 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 223866828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305001312).

223866828 is an abundant number, since it is smaller than the sum of its proper divisors (386135796).

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

223866828 is a wasteful number, since it uses less digits than its factorization.

223866828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 223866828 is about 14962.1799213885. The cubic root of 223866828 is about 607.1974167585.

The spelling of 223866828 in words is "two hundred twenty-three million, eight hundred sixty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 61 81 94 108 122 141 162 183 188 241 244 282 324 366 423 482 549 564 723 732 846 964 1098 1269 1446 1647 1692 2169 2196 2538 2867 2892 3294 3807 4338 4941 5076 5734 6507 6588 7614 8601 8676 9882 11327 11468 13014 14701 15228 17202 19521 19764 22654 25803 26028 29402 33981 34404 39042 44103 45308 51606 58804 67962 77409 78084 88206 101943 103212 132309 135924 154818 176412 203886 232227 264618 305829 309636 396927 407772 464454 529236 611658 690947 793854 917487 928908 1190781 1223316 1381894 1587708 1834974 2072841 2381562 2763788 3669948 4145682 4763124 6218523 8291364 12437046 18655569 24874092 37311138 55966707 74622276 111933414 223866828