Search a number
-
+
455240226 = 23743833037
BaseRepresentation
bin11011001000100…
…110101000100010
31011201121121012010
4123020212220202
51413020141401
6113101213350
714165322660
oct3310465042
91151547163
10455240226
11213a757a1
12108561256
1373412c1c
1444663c30
1529e75ed6
hex1b226a22

455240226 has 64 divisors (see below), whose sum is σ = 1077931008. Its totient is φ = 125471808.

The previous prime is 455240221. The next prime is 455240237. The reversal of 455240226 is 622042554.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 455240193 and 455240202.

It is not an unprimeable number, because it can be changed into a prime (455240221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148380 + ... + 151416.

It is an arithmetic number, because the mean of its divisors is an integer number (16842672).

Almost surely, 2455240226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455240226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538965504).

455240226 is an abundant number, since it is smaller than the sum of its proper divisors (622690782).

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

455240226 is a wasteful number, since it uses less digits than its factorization.

455240226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 455240226 is about 21336.3592489440. The cubic root of 455240226 is about 769.2725045361.

The spelling of 455240226 in words is "four hundred fifty-five million, two hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 43 83 86 129 166 249 258 301 498 581 602 903 1162 1743 1806 3037 3486 3569 6074 7138 9111 10707 18222 21259 21414 24983 42518 49966 63777 74949 127554 130591 149898 252071 261182 391773 504142 756213 783546 914137 1512426 1764497 1828274 2742411 3528994 5293491 5484822 10586982 10839053 21678106 32517159 65034318 75873371 151746742 227620113 455240226