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228105720 = 23345233061
BaseRepresentation
bin11011001100010…
…01110111111000
3120220012222020000
431212021313320
5431343340340
634345033000
75436603153
oct1546116770
9526188200
10228105720
1110783a227
1264485760
1338347ccb
142241ac9a
151505bd30
hexd989df8

228105720 has 160 divisors (see below), whose sum is σ = 800284320. Its totient is φ = 58164480.

The previous prime is 228105707. The next prime is 228105727. The reversal of 228105720 is 27501822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228105727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72990 + ... + 76050.

It is an arithmetic number, because the mean of its divisors is an integer number (5001777).

Almost surely, 2228105720 is an apocalyptic number.

228105720 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 228105720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400142160).

228105720 is an abundant number, since it is smaller than the sum of its proper divisors (572178600).

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

228105720 is a wasteful number, since it uses less digits than its factorization.

228105720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3094 counting only the distinct ones).

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

The square root of 228105720 is about 15103.1692038459. The cubic root of 228105720 is about 611.0058831734.

The spelling of 228105720 in words is "two hundred twenty-eight million, one hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3061 3105 3240 3726 4140 4968 6122 6210 7452 8280 9183 9315 12244 12420 14904 15305 18366 18630 24488 24840 27549 30610 36732 37260 45915 55098 61220 70403 73464 74520 82647 91830 110196 122440 137745 140806 165294 183660 211209 220392 247941 275490 281612 330588 352015 367320 413235 422418 495882 550980 563224 633627 661176 704030 826470 844836 991764 1056045 1101960 1239705 1267254 1408060 1652940 1689672 1900881 1983528 2112090 2479410 2534508 2816120 3168135 3305880 3801762 4224180 4958820 5069016 5702643 6336270 7603524 8448360 9504405 9917640 11405286 12672540 15207048 19008810 22810572 25345080 28513215 38017620 45621144 57026430 76035240 114052860 228105720