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227565540 = 223253747727
BaseRepresentation
bin11011001000001…
…01111111100100
3120212012112020100
431210011333210
5431224044130
634325304100
75432163246
oct1544057744
9525175210
10227565540
111075003a4
1264265030
13381b9187
142231a096
1514ea1c60
hexd905fe4

227565540 has 144 divisors (see below), whose sum is σ = 725018112. Its totient is φ = 57708288.

The previous prime is 227565521. The next prime is 227565551. The reversal of 227565540 is 45565722.

227565540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 227565495 and 227565504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312657 + ... + 313383.

It is an arithmetic number, because the mean of its divisors is an integer number (5034848).

Almost surely, 2227565540 is an apocalyptic number.

227565540 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 227565540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509056).

227565540 is an abundant number, since it is smaller than the sum of its proper divisors (497452572).

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

227565540 is a wasteful number, since it uses less digits than its factorization.

227565540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 227565540 is about 15085.2756023879. The cubic root of 227565540 is about 610.5231917331.

The spelling of 227565540 in words is "two hundred twenty-seven million, five hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 727 740 846 940 1110 1332 1410 1454 1665 1692 1739 2115 2181 2220 2820 2908 3330 3478 3635 4230 4362 5217 6543 6660 6956 7270 8460 8695 8724 10434 10905 13086 14540 15651 17390 20868 21810 26085 26172 26899 31302 32715 34169 34780 43620 52170 53798 62604 65430 68338 78255 80697 102507 104340 107596 130860 134495 136676 156510 161394 170845 205014 242091 268990 307521 313020 322788 341690 403485 410028 484182 512535 537980 615042 683380 806970 968364 1025070 1210455 1230084 1264253 1537605 1613940 2050140 2420910 2528506 3075210 3792759 4841820 5057012 6150420 6321265 7585518 11378277 12642530 15171036 18963795 22756554 25285060 37927590 45513108 56891385 75855180 113782770 227565540