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228107520 = 2832519801
BaseRepresentation
bin11011001100010…
…10010100000000
3120220020001200200
431212022110000
5431343420040
634345045200
75436611334
oct1546122400
9526201620
10228107520
11107840613
1264486800
1338348a84
142241b7c4
151505c630
hexd98a500

228107520 has 108 divisors (see below), whose sum is σ = 789268116. Its totient is φ = 60825600.

The previous prime is 228107519. The next prime is 228107543. The reversal of 228107520 is 25701822.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 204604416 = 4848^2 + 14304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620 + ... + 21420.

Almost surely, 2228107520 is an apocalyptic number.

228107520 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 228107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394634058).

228107520 is an abundant number, since it is smaller than the sum of its proper divisors (561160596).

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

228107520 is a wasteful number, since it uses less digits than its factorization.

228107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19828 (or 19811 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 228107520 is about 15103.2287938705. The cubic root of 228107520 is about 611.0074903342.

The spelling of 228107520 in words is "two hundred twenty-eight million, one hundred seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 19801 39602 59403 79204 99005 118806 158408 178209 198010 237612 297015 316816 356418 396020 475224 594030 633632 712836 792040 891045 950448 1188060 1267264 1425672 1584080 1782090 1900896 2376120 2534528 2851344 3168160 3564180 3801792 4752240 5069056 5702688 6336320 7128360 7603584 9504480 11405376 12672640 14256720 15207168 19008960 22810752 25345280 28513440 38017920 45621504 57026880 76035840 114053760 228107520