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229212464 = 24131577019
BaseRepresentation
bin11011010100110…
…00000100110000
3120222022012101112
431222120010300
5432134244324
634424452452
75452162625
oct1552300460
9528265345
10229212464
11108425798
126491a128
13386449a0
142262834c
15151c9c0e
hexda98130

229212464 has 40 divisors (see below), whose sum is σ = 481375440. Its totient is φ = 105101568.

The previous prime is 229212461. The next prime is 229212493. The reversal of 229212464 is 464212922.

It is a self number, because there is not a number n which added to its sum of digits gives 229212464.

It is not an unprimeable number, because it can be changed into a prime (229212461) 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 7 ways as a sum of consecutive naturals, for example, 29147 + ... + 36165.

It is an arithmetic number, because the mean of its divisors is an integer number (12034386).

Almost surely, 2229212464 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 229212464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240687720).

229212464 is an abundant number, since it is smaller than the sum of its proper divisors (252162976).

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

229212464 is a wasteful number, since it uses less digits than its factorization.

229212464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7191 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 229212464 is about 15139.7643310588. The cubic root of 229212464 is about 611.9924671919.

The spelling of 229212464 in words is "two hundred twenty-nine million, two hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 7019 8164 14038 16328 28076 32656 56152 91247 112304 182494 364988 729976 1101983 1459952 2203966 4407932 8815864 14325779 17631728 28651558 57303116 114606232 229212464