Search a number
-
+
227780442 = 232291313331
BaseRepresentation
bin11011001001110…
…10011101011010
3120212121110000200
431210322131122
5431302433232
634334043030
75434046631
oct1544723532
9525543020
10227780442
111076378aa
1264349476
1338262c36
1422374518
1514ee577c
hexd93a75a

227780442 has 48 divisors (see below), whose sum is σ = 514594080. Its totient is φ = 72727200.

The previous prime is 227780407. The next prime is 227780453. The reversal of 227780442 is 244087722.

It is a super-3 number, since 3×2277804423 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 227780397 and 227780406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66717 + ... + 70047.

It is an arithmetic number, because the mean of its divisors is an integer number (10720710).

Almost surely, 2227780442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227780442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040).

227780442 is an abundant number, since it is smaller than the sum of its proper divisors (286813638).

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

227780442 is a wasteful number, since it uses less digits than its factorization.

227780442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 227780442 is about 15092.3968275420. The cubic root of 227780442 is about 610.7153142254.

The spelling of 227780442 in words is "two hundred twenty-seven million, seven hundred eighty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 131 174 261 262 393 522 786 1179 2358 3331 3799 6662 7598 9993 11397 19986 22794 29979 34191 59958 68382 96599 193198 289797 436361 579594 869391 872722 1309083 1738782 2618166 3927249 7854498 12654469 25308938 37963407 75926814 113890221 227780442