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228788040 = 233513178627
BaseRepresentation
bin11011010001100…
…00011101001000
3120221111122012010
431220300131020
5432032204130
634411415520
75445444345
oct1550603510
9527448163
10228788040
11108165928
12647545a0
1338526750
14225577cc
15151440b0
hexda30748

228788040 has 128 divisors (see below), whose sum is σ = 782732160. Its totient is φ = 52998144.

The previous prime is 228788039. The next prime is 228788071. The reversal of 228788040 is 40887822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 228788040.

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, 22207 + ... + 30833.

It is an arithmetic number, because the mean of its divisors is an integer number (6115095).

Almost surely, 2228788040 is an apocalyptic number.

228788040 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 228788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391366080).

228788040 is an abundant number, since it is smaller than the sum of its proper divisors (553944120).

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

228788040 is a wasteful number, since it uses less digits than its factorization.

228788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 228788040 is about 15125.7409735854. The cubic root of 228788040 is about 611.6144994162.

The spelling of 228788040 in words is "two hundred twenty-eight million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8627 8840 13260 17254 25881 26520 34508 43135 51762 69016 86270 103524 112151 129405 146659 172540 207048 224302 258810 293318 336453 345080 439977 448604 517620 560755 586636 672906 733295 879954 897208 1035240 1121510 1173272 1345812 1466590 1682265 1759908 1906567 2199885 2243020 2691624 2933180 3364530 3519816 3813134 4399770 4486040 5719701 5866360 6729060 7626268 8799540 9532835 11439402 13458120 15252536 17599080 19065670 22878804 28598505 38131340 45757608 57197010 76262680 114394020 228788040