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223532496 = 243211212829
BaseRepresentation
bin11010101001011…
…01010111010000
3120120121121221100
431110231113100
5424211014441
634103024400
75352665145
oct1524552720
9516547840
10223532496
111051a6300
1262a3b100
1337406565
142198a3cc
1514956cb6
hexd52d5d0

223532496 has 90 divisors (see below), whose sum is σ = 687675170. Its totient is φ = 67731840.

The previous prime is 223532479. The next prime is 223532501. The reversal of 223532496 is 694235322.

It is a happy number.

223532496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 210830400 + 12702096 = 14520^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223532496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11010 + ... + 23838.

Almost surely, 2223532496 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 223532496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343837585).

223532496 is an abundant number, since it is smaller than the sum of its proper divisors (464142674).

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

223532496 is a wasteful number, since it uses less digits than its factorization.

223532496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865 (or 12845 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 223532496 is about 14951.0031770447. The cubic root of 223532496 is about 606.8949948954.

The spelling of 223532496 in words is "two hundred twenty-three million, five hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 12829 17424 25658 38487 51316 76974 102632 115461 141119 153948 205264 230922 282238 307896 423357 461844 564476 615792 846714 923688 1128952 1270071 1552309 1693428 1847376 2257904 2540142 3104618 3386856 4656927 5080284 6209236 6773712 9313854 10160568 12418472 13970781 18627708 20321136 24836944 27941562 37255416 55883124 74510832 111766248 223532496