Search a number
-
+
227290536 = 2337111181
BaseRepresentation
bin11011000110000…
…10110110101000
3120211200120000000
431203002312220
5431141244121
634315343000
75426636424
oct1543026650
9524616000
10227290536
11107332820
1264151a60
1338120c55
1422287b84
1514e4a526
hexd8c2da8

227290536 has 128 divisors (see below), whose sum is σ = 697852800. Its totient is φ = 68817600.

The previous prime is 227290529. The next prime is 227290549. The reversal of 227290536 is 635092722.

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

It is a self number, because there is not a number n which added to its sum of digits gives 227290536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191866 + ... + 193046.

It is an arithmetic number, because the mean of its divisors is an integer number (5451975).

Almost surely, 2227290536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227290536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348926400).

227290536 is an abundant number, since it is smaller than the sum of its proper divisors (470562264).

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

227290536 is a wasteful number, since it uses less digits than its factorization.

227290536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 227290536 is about 15076.1578659816. The cubic root of 227290536 is about 610.2771615165.

The spelling of 227290536 in words is "two hundred twenty-seven million, two hundred ninety thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1181 1188 1458 1782 1944 2187 2362 2376 2673 2916 3543 3564 4374 4724 5346 5832 7086 7128 8019 8748 9448 10629 10692 12991 14172 16038 17496 21258 21384 24057 25982 28344 31887 32076 38973 42516 48114 51964 63774 64152 77946 85032 95661 96228 103928 116919 127548 155892 191322 192456 233838 255096 286983 311784 350757 382644 467676 573966 701514 765288 860949 935352 1052271 1147932 1403028 1721898 2104542 2295864 2582847 2806056 3156813 3443796 4209084 5165694 6313626 6887592 8418168 9470439 10331388 12627252 18940878 20662776 25254504 28411317 37881756 56822634 75763512 113645268 227290536