Search a number
-
+
226206464 = 281180329
BaseRepresentation
bin11010111101110…
…10001100000000
3120202122110221012
431132322030000
5430402101324
634240220052
75414503031
oct1536721400
9522573835
10226206464
111067622a0
126390a628
1337b316a3
1422084a88
1514cd420e
hexd7ba300

226206464 has 36 divisors (see below), whose sum is σ = 492583560. Its totient is φ = 102819840.

The previous prime is 226206443. The next prime is 226206469. The reversal of 226206464 is 464602622.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 226206464.

It is not an unprimeable number, because it can be changed into a prime (226206469) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 37349 + ... + 42980.

Almost surely, 2226206464 is an apocalyptic number.

It is an amenable number.

226206464 is an abundant number, since it is smaller than the sum of its proper divisors (266377096).

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

226206464 is an equidigital number, since it uses as much as digits as its factorization.

226206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80356 (or 80342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 226206464 is about 15040.1617012584. The cubic root of 226206464 is about 609.3053671352.

The spelling of 226206464 in words is "two hundred twenty-six million, two hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 80329 160658 321316 642632 883619 1285264 1767238 2570528 3534476 5141056 7068952 10282112 14137904 20564224 28275808 56551616 113103232 226206464