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229556064 = 2537133679
BaseRepresentation
bin11011010111010…
…11111101100000
3120222221122201110
431223223331200
5432231243224
634440103320
75455123443
oct1553537540
9528848643
10229556064
1110863a961
1264a64b40
13387351ba
14226b765a
1515246929
hexdaebf60

229556064 has 48 divisors (see below), whose sum is σ = 611089920. Its totient is φ = 75438720.

The previous prime is 229556057. The next prime is 229556069. The reversal of 229556064 is 460655922.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229556069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10024 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (12731040).

Almost surely, 2229556064 is an apocalyptic number.

229556064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229556064 is an abundant number, since it is smaller than the sum of its proper divisors (381533856).

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

229556064 is a wasteful number, since it uses less digits than its factorization.

229556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33763 (or 33755 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 229556064 is about 15151.1076822785. The cubic root of 229556064 is about 612.2981161112.

The spelling of 229556064 in words is "two hundred twenty-nine million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 33679 67358 101037 134716 202074 269432 404148 538864 808296 1077728 1616592 2391209 3233184 4782418 7173627 9564836 14347254 19129672 28694508 38259344 57389016 76518688 114778032 229556064