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228131540 = 225713163769
BaseRepresentation
bin11011001100100…
…00001011010100
3120220021021122022
431212100023110
5431400202130
634345352312
75440041350
oct1546201324
9526237568
10228131540
1110785766a
1264498698
13383569a0
1422426460
15150647e5
hexd9902d4

228131540 has 96 divisors (see below), whose sum is σ = 594021120. Its totient is φ = 71663616.

The previous prime is 228131479. The next prime is 228131543. The reversal of 228131540 is 45131822.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228131543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296276 + ... + 297044.

It is an arithmetic number, because the mean of its divisors is an integer number (6187720).

Almost surely, 2228131540 is an apocalyptic number.

228131540 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 228131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297010560).

228131540 is an abundant number, since it is smaller than the sum of its proper divisors (365889580).

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

228131540 is a wasteful number, since it uses less digits than its factorization.

228131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 228131540 is about 15104.0239671420. The cubic root of 228131540 is about 611.0289361927.

The spelling of 228131540 in words is "two hundred twenty-eight million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 163 182 260 326 364 455 652 769 815 910 1141 1538 1630 1820 2119 2282 3076 3260 3845 4238 4564 5383 5705 7690 8476 9997 10595 10766 11410 14833 15380 19994 21190 21532 22820 26915 29666 39988 42380 49985 53830 59332 69979 74165 99970 107660 125347 139958 148330 199940 250694 279916 296660 349895 501388 626735 699790 877429 1253470 1399580 1629511 1754858 2506940 3259022 3509716 4387145 6518044 8147555 8774290 11406577 16295110 17548580 22813154 32590220 45626308 57032885 114065770 228131540