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4530225672 = 233573110739
BaseRepresentation
bin1000011100000010…
…11100001000001000
3102200201102022100000
410032001130020020
533234214210142
62025310243000
7220156166010
oct41601341010
912621368300
104530225672
111a15215665
12a651b6460
1357272a40b
1430d936c40
151b7aae14c
hex10e05c208

4530225672 has 192 divisors, whose sum is σ = 15011942400. Its totient is φ = 1252480320.

The previous prime is 4530225643. The next prime is 4530225673. The reversal of 4530225672 is 2765220354.

4530225672 is a `hidden beast` number, since 4 + 530 + 2 + 2 + 56 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4530225673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416479 + ... + 427217.

It is an arithmetic number, because the mean of its divisors is an integer number (78187200).

Almost surely, 24530225672 is an apocalyptic number.

4530225672 is a gapful number since it is divisible by the number (42) 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 4530225672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505971200).

4530225672 is an abundant number, since it is smaller than the sum of its proper divisors (10481716728).

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

4530225672 is a wasteful number, since it uses less digits than its factorization.

4530225672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4530225672 is about 67306.9511417654. The cubic root of 4530225672 is about 1654.6517854613.

The spelling of 4530225672 in words is "four billion, five hundred thirty million, two hundred twenty-five thousand, six hundred seventy-two".