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228580920 = 233351131873
BaseRepresentation
bin11011001111111…
…01111000111000
3120221010010002000
431213331320320
5432004042140
634403141000
75443622451
oct1547757070
9527103060
10228580920
11108034257
1264674760
13384833a9
1422502128
1515102a30
hexd9fde38

228580920 has 128 divisors (see below), whose sum is σ = 769089600. Its totient is φ = 60383232.

The previous prime is 228580909. The next prime is 228580943. The reversal of 228580920 is 29085822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121104 + ... + 122976.

Almost surely, 2228580920 is an apocalyptic number.

228580920 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 228580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384544800).

228580920 is an abundant number, since it is smaller than the sum of its proper divisors (540508680).

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

228580920 is a wasteful number, since it uses less digits than its factorization.

228580920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 228580920 is about 15118.8928166053. The cubic root of 228580920 is about 611.4298804401.

The spelling of 228580920 in words is "two hundred twenty-eight million, five hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 565 678 904 1017 1080 1130 1356 1695 1873 2034 2260 2712 3051 3390 3746 4068 4520 5085 5619 6102 6780 7492 8136 9365 10170 11238 12204 13560 14984 15255 16857 18730 20340 22476 24408 28095 30510 33714 37460 40680 44952 50571 56190 61020 67428 74920 84285 101142 112380 122040 134856 168570 202284 211649 224760 252855 337140 404568 423298 505710 634947 674280 846596 1011420 1058245 1269894 1693192 1904841 2022840 2116490 2539788 3174735 3809682 4232980 5079576 5714523 6349470 7619364 8465960 9524205 11429046 12698940 15238728 19048410 22858092 25397880 28572615 38096820 45716184 57145230 76193640 114290460 228580920