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228300520 = 23577910321
BaseRepresentation
bin11011001101110…
…01011011101000
3120220120212102211
431212321123220
5431421104040
634353134504
75441344120
oct1546713350
9526525384
10228300520
11107962618
126455a434
13383b5886
142246bc80
15150998ea
hexd9b96e8

228300520 has 64 divisors (see below), whose sum is σ = 594547200. Its totient is φ = 77276160.

The previous prime is 228300517. The next prime is 228300539. The reversal of 228300520 is 25003822.

It is a super-2 number, since 2×2283005202 = 104242254864540800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228300491 and 228300500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16960 + ... + 27280.

It is an arithmetic number, because the mean of its divisors is an integer number (9289800).

Almost surely, 2228300520 is an apocalyptic number.

228300520 is a gapful number since it is divisible by the number (20) 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 228300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297273600).

228300520 is an abundant number, since it is smaller than the sum of its proper divisors (366246680).

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

228300520 is a wasteful number, since it uses less digits than its factorization.

228300520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 228300520 is about 15109.6168052006. The cubic root of 228300520 is about 611.1797646531.

The spelling of 228300520 in words is "two hundred twenty-eight million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 10321 11060 20642 22120 41284 51605 72247 82568 103210 144494 206420 288988 361235 412840 577976 722470 815359 1444940 1630718 2889880 3261436 4076795 5707513 6522872 8153590 11415026 16307180 22830052 28537565 32614360 45660104 57075130 114150260 228300520