Search a number
-
+
227260096 = 267736949
BaseRepresentation
bin11011000101110…
…11011011000000
3120211122000020121
431202323123000
5431134310341
634314550024
75426451610
oct1542733300
9524560217
10227260096
11107311968
1264138314
133811013b
142227aa40
1514e414d1
hexd8bb6c0

227260096 has 56 divisors (see below), whose sum is σ = 522528800. Its totient is φ = 96049152.

The previous prime is 227260093. The next prime is 227260123. The reversal of 227260096 is 690062722.

227260096 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (227260091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29230 + ... + 36178.

Almost surely, 2227260096 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 227260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261264400).

227260096 is an abundant number, since it is smaller than the sum of its proper divisors (295268704).

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

227260096 is an equidigital number, since it uses as much as digits as its factorization.

227260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 227260096 is about 15075.1482911446. The cubic root of 227260096 is about 610.2499164077.

The spelling of 227260096 in words is "two hundred twenty-seven million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 6949 8176 13898 16352 27796 32704 48643 55592 97286 111184 194572 222368 389144 444736 507277 778288 1014554 1556576 2029108 3113152 3550939 4058216 7101878 8116432 14203756 16232864 28407512 32465728 56815024 113630048 227260096