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223648848 = 243219431901
BaseRepresentation
bin11010101010010…
…01110001010000
3120120211112112200
431111021301100
5424223230343
634105323200
75353661313
oct1525116120
9516745480
10223648848
11105275765
1262a96500
13374474c7
14219ba97a
151497b4d3
hexd549c50

223648848 has 120 divisors (see below), whose sum is σ = 674525280. Its totient is φ = 68947200.

The previous prime is 223648823. The next prime is 223648871. The reversal of 223648848 is 848846322.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116698 + ... + 118598.

It is an arithmetic number, because the mean of its divisors is an integer number (5621044).

Almost surely, 2223648848 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 223648848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337262640).

223648848 is an abundant number, since it is smaller than the sum of its proper divisors (450876432).

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

223648848 is a wasteful number, since it uses less digits than its factorization.

With its successor (223648849) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1968).

223648848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1968 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 223648848 is about 14954.8937809668. The cubic root of 223648848 is about 607.0002759313. Note that the first 3 decimals are identical.

The spelling of 223648848 in words is "two hundred twenty-three million, six hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 43 48 57 72 76 86 114 129 144 152 171 172 228 258 304 342 344 387 456 516 684 688 774 817 912 1032 1368 1548 1634 1901 2064 2451 2736 3096 3268 3802 4902 5703 6192 6536 7353 7604 9804 11406 13072 14706 15208 17109 19608 22812 29412 30416 34218 36119 39216 45624 58824 68436 72238 81743 91248 108357 117648 136872 144476 163486 216714 245229 273744 288952 325071 326972 433428 490458 577904 650142 653944 735687 866856 980916 1300284 1307888 1471374 1553117 1733712 1961832 2600568 2942748 3106234 3923664 4659351 5201136 5885496 6212468 9318702 11770992 12424936 13978053 18637404 24849872 27956106 37274808 55912212 74549616 111824424 223648848