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228676365450 = 23252133111311159
BaseRepresentation
bin1101010011111000101…
…1000110110010001010
3210212020211220222121200
43110332023012302022
512221312122143300
6253015200045030
722343546015001
oct3247613066212
9725224828550
10228676365450
1188a87934a85
123839b303776
13187443c2760
14b0d4815c38
155e35c90200
hex353e2c6c8a

228676365450 has 288 divisors, whose sum is σ = 689085895680. Its totient is φ = 53986867200.

The previous prime is 228676365403. The next prime is 228676365461. The reversal of 228676365450 is 54563676822.

228676365450 is a `hidden beast` number, since 2 + 2 + 8 + 67 + 6 + 36 + 545 + 0 = 666.

228676365450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20486971 + ... + 20498129.

It is an arithmetic number, because the mean of its divisors is an integer number (2392659360).

Almost surely, 2228676365450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228676365450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344542947840).

228676365450 is an abundant number, since it is smaller than the sum of its proper divisors (460409530230).

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

228676365450 is a wasteful number, since it uses less digits than its factorization.

228676365450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 228676365450 in words is "two hundred twenty-eight billion, six hundred seventy-six million, three hundred sixty-five thousand, four hundred fifty".