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228352794120 = 233251129268567
BaseRepresentation
bin1101010010101011100…
…0110001111000001000
3210211102022001212012100
43110222320301320020
512220131303402440
6252523120513400
722332536503233
oct3245270617010
9724368055170
10228352794120
1188931221060
123830aa7b860
13186c2360b29
14b0a386841a
155e17677230
hex352ae31e08

228352794120 has 288 divisors, whose sum is σ = 838507101120. Its totient is φ = 53448568320.

The previous prime is 228352794113. The next prime is 228352794133. The reversal of 228352794120 is 21497253822.

228352794120 is a `hidden beast` number, since 2 + 2 + 83 + 527 + 9 + 41 + 2 + 0 = 666.

228352794120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2283527941202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3296077 + ... + 3364643.

It is an arithmetic number, because the mean of its divisors is an integer number (2911482990).

Almost surely, 2228352794120 is an apocalyptic number.

228352794120 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 228352794120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419253550560).

228352794120 is an abundant number, since it is smaller than the sum of its proper divisors (610154307000).

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

228352794120 is a wasteful number, since it uses less digits than its factorization.

228352794120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68653 (or 68617 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 228352794120 in words is "two hundred twenty-eight billion, three hundred fifty-two million, seven hundred ninety-four thousand, one hundred twenty".