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226814144 = 263795783
BaseRepresentation
bin11011000010011…
…10100011000000
3120210210100111212
431201032203000
5431031023034
634301225252
75422613504
oct1541164300
9523710455
10226814144
11107037907
1263b62228
1337cb516b
14221a2304
1514da42ce
hexd84e8c0

226814144 has 28 divisors (see below), whose sum is σ = 462253584. Its totient is φ = 110340864.

The previous prime is 226814141. The next prime is 226814167. The reversal of 226814144 is 441418622.

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 226814144.

It is not an unprimeable number, because it can be changed into a prime (226814141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45524 + ... + 50259.

Almost surely, 2226814144 is an apocalyptic number.

It is an amenable number.

226814144 is an abundant number, since it is smaller than the sum of its proper divisors (235439440).

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

226814144 is an equidigital number, since it uses as much as digits as its factorization.

226814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95832 (or 95822 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 226814144 is about 15060.3500623325. The cubic root of 226814144 is about 609.8504909948.

The spelling of 226814144 in words is "two hundred twenty-six million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 95783 191566 383132 766264 1532528 3065056 3543971 6130112 7087942 14175884 28351768 56703536 113407072 226814144