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4452228000 = 2532531111243
BaseRepresentation
bin1000010010101111…
…11001101110100000
3102111021122121122100
410021113321232200
533104232244000
62013442410400
7215221212363
oct41127715640
912437577570
104452228000
111985191880
12a43060a00
1355c51b54c
143034320da
151b0d03a00
hex1095f9ba0

4452228000 has 288 divisors, whose sum is σ = 17238940992. Its totient is φ = 1079232000.

The previous prime is 4452227999. The next prime is 4452228017. The reversal of 4452228000 is 8222544.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390379 + ... + 401621.

It is an arithmetic number, because the mean of its divisors is an integer number (59857434).

Almost surely, 24452228000 is an apocalyptic number.

4452228000 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 4452228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619470496).

4452228000 is an abundant number, since it is smaller than the sum of its proper divisors (12786712992).

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

4452228000 is a wasteful number, since it uses less digits than its factorization.

4452228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11285 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4452228000 is about 66725.0177969253. The cubic root of 4452228000 is about 1645.1006180698.

The spelling of 4452228000 in words is "four billion, four hundred fifty-two million, two hundred twenty-eight thousand".