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229092480 = 27325311283
BaseRepresentation
bin11011010011110…
…10110010000000
3120222002002210200
431221322302000
5432121424410
634422125200
75451153051
oct1551726200
9528062720
10229092480
11108353631
1264880800
13386021a6
14225d6728
15151a43c0
hexda7ac80

229092480 has 192 divisors, whose sum is σ = 817240320. Its totient is φ = 59074560.

The previous prime is 229092473. The next prime is 229092491. The reversal of 229092480 is 84290922.

229092480 is a `hidden beast` number, since 2 + 2 + 90 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 177919 + ... + 179201.

It is an arithmetic number, because the mean of its divisors is an integer number (4256460).

Almost surely, 2229092480 is an apocalyptic number.

229092480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408620160).

229092480 is an abundant number, since it is smaller than the sum of its proper divisors (588147840).

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

229092480 is a wasteful number, since it uses less digits than its factorization.

229092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229092480 is about 15135.8012671943. The cubic root of 229092480 is about 611.8856636335.

The spelling of 229092480 in words is "two hundred twenty-nine million, ninety-two thousand, four hundred eighty".