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222830464 = 272277669
BaseRepresentation
bin11010100100000…
…01111110000000
3120112021221221011
431102001332000
5424021033324
634040010304
75344012333
oct1522017600
9515257834
10222830464
1110486690a
1262760994
133721bb5c
142184661a
1514868c94
hexd481f80

222830464 has 32 divisors (see below), whose sum is σ = 445933800. Its totient is φ = 110909952.

The previous prime is 222830453. The next prime is 222830467. The reversal of 222830464 is 464038222.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222830467) 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, 25222 + ... + 32890.

Almost surely, 2222830464 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 222830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222966900).

222830464 is an abundant number, since it is smaller than the sum of its proper divisors (223103336).

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

222830464 is an equidigital number, since it uses as much as digits as its factorization.

222830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 222830464 is about 14927.5069586318. The cubic root of 222830464 is about 606.2589851788.

Adding to 222830464 its reverse (464038222), we get a palindrome (686868686).

The spelling of 222830464 in words is "two hundred twenty-two million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 3632 7264 7669 14528 15338 29056 30676 61352 122704 245408 490816 981632 1740863 3481726 6963452 13926904 27853808 55707616 111415232 222830464