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4299228000 = 253253307389
BaseRepresentation
bin1000000000100000…
…10000001101100000
3102002121202102002200
410000100100031200
532301100244000
61550335213200
7211352556264
oct40020201540
912077672080
104299228000
1119068906a1
129bb977200
1353690bcc2
142cada60a4
151a2680500
hex100410360

4299228000 has 288 divisors, whose sum is σ = 15347011680. Its totient is φ = 1139788800.

The previous prime is 4299227993. The next prime is 4299228001. The reversal of 4299228000 is 8229924.

4299228000 is a `hidden beast` number, since 429 + 9 + 228 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42992280002 = 36966722791968000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4299228001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11051806 + ... + 11052194.

It is an arithmetic number, because the mean of its divisors is an integer number (53288235).

Almost surely, 24299228000 is an apocalyptic number.

4299228000 is a gapful number since it is divisible by the number (40) 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 4299228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673505840).

4299228000 is an abundant number, since it is smaller than the sum of its proper divisors (11047783680).

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

4299228000 is a wasteful number, since it uses less digits than its factorization.

4299228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

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

The square root of 4299228000 is about 65568.4985339759. The cubic root of 4299228000 is about 1626.0360099685.

The spelling of 4299228000 in words is "four billion, two hundred ninety-nine million, two hundred twenty-eight thousand".