Search a number
-
+
226495104 = 2731129432
BaseRepresentation
bin11011000000000…
…00101010000000
3120210012010212120
431200000222000
5430440320404
634250324240
75420114403
oct1540005200
9523163776
10226495104
1110693a140
1263a29680
1337c02b94
142211bd3a
1514d3e9d9
hexd800a80

226495104 has 192 divisors, whose sum is σ = 695109600. Its totient is φ = 64727040.

The previous prime is 226495103. The next prime is 226495109. The reversal of 226495104 is 401594622.

226495104 is digitally balanced in base 3, because in such base 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (226495103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5267307 + ... + 5267349.

Almost surely, 2226495104 is an apocalyptic number.

226495104 is a gapful number since it is divisible by the number (24) 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 226495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347554800).

226495104 is an abundant number, since it is smaller than the sum of its proper divisors (468614496).

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

226495104 is a wasteful number, since it uses less digits than its factorization.

226495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 226495104 is about 15049.7542837084. The cubic root of 226495104 is about 609.5644153628.

The spelling of 226495104 in words is "two hundred twenty-six million, four hundred ninety-five thousand, one hundred four".