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223072528 = 24731471367
BaseRepresentation
bin11010100101111…
…01000100010000
3120112202020222111
431102331010100
5424101310103
634045115104
75346041140
oct1522750420
9515666874
10223072528
11104a11768
1262858a94
13372a50a3
14218aa920
15148b586d
hexd4bd110

223072528 has 80 divisors (see below), whose sum is σ = 521109504. Its totient is φ = 90483840.

The previous prime is 223072523. The next prime is 223072541. The reversal of 223072528 is 825270322.

It is a super-3 number, since 3×2230725283 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 223072528.

It is not an unprimeable number, because it can be changed into a prime (223072523) 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, 162501 + ... + 163867.

Almost surely, 2223072528 is an apocalyptic number.

223072528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223072528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752).

223072528 is an abundant number, since it is smaller than the sum of its proper divisors (298036976).

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

223072528 is a wasteful number, since it uses less digits than its factorization.

223072528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 223072528 is about 14935.6127427033. The cubic root of 223072528 is about 606.4784350754.

The spelling of 223072528 in words is "two hundred twenty-three million, seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 47 56 62 94 112 124 188 217 248 329 376 434 496 658 752 868 1316 1367 1457 1736 2632 2734 2914 3472 5264 5468 5828 9569 10199 10936 11656 19138 20398 21872 23312 38276 40796 42377 64249 76552 81592 84754 128498 153104 163184 169508 256996 296639 339016 449743 513992 593278 678032 899486 1027984 1186556 1798972 1991719 2373112 3597944 3983438 4746224 7195888 7966876 13942033 15933752 27884066 31867504 55768132 111536264 223072528