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223052832 = 2533534871
BaseRepresentation
bin11010100101110…
…00010000100000
3120112201020222000
431102320100200
5424100142312
634044444000
75345626542
oct1522702040
9515636860
10223052832
111049a8992
1262849600
1337299132
14218a3692
15148aeadc
hexd4b8420

223052832 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 72933120.

The previous prime is 223052831. The next prime is 223052839. The reversal of 223052832 is 238250322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223052796 and 223052805.

It is not an unprimeable number, because it can be changed into a prime (223052831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43357 + ... + 48227.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2223052832 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 223052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

223052832 is an abundant number, since it is smaller than the sum of its proper divisors (439928928).

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

223052832 is a wasteful number, since it uses less digits than its factorization.

223052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4929 counting only the distinct ones).

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

The square root of 223052832 is about 14934.9533645070. The cubic root of 223052832 is about 606.4605850501.

The spelling of 223052832 in words is "two hundred twenty-three million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 4871 5088 5724 7632 9742 11448 14613 15264 19484 22896 29226 38968 43839 45792 58452 77936 87678 116904 131517 155872 175356 233808 258163 263034 350712 467616 516326 526068 701424 774489 1032652 1052136 1402848 1548978 2065304 2104272 2323467 3097956 4130608 4208544 4646934 6195912 6970401 8261216 9293868 12391824 13940802 18587736 24783648 27881604 37175472 55763208 74350944 111526416 223052832