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4187223072 = 2534312412
BaseRepresentation
bin1111100110010011…
…1111010000100000
3101210210222222020000
43321210333100200
532033412114242
61531254420000
7205522544304
oct37144772040
911723888200
104187223072
11185963a73a
1298a361600
135196541b6
142ba16bd04
15197908a4c
hexf993f420

4187223072 has 270 divisors, whose sum is σ = 13042487997. Its totient is φ = 1317772800.

The previous prime is 4187223037. The next prime is 4187223101. The reversal of 4187223072 is 2703227814.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4187223072 is a `hidden beast` number, since 418 + 7 + 2 + 230 + 7 + 2 = 666.

4187223072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2990339856 + 1196883216 = 54684^2 + 34596^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45756.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102127372 + ... + 102127412.

Almost surely, 24187223072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187223072

4187223072 is an abundant number, since it is smaller than the sum of its proper divisors (8855264925).

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

4187223072 is an equidigital number, since it uses as much as digits as its factorization.

4187223072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4187223072 is about 64708.7557599433. The cubic root of 4187223072 is about 1611.7908998995.

The spelling of 4187223072 in words is "four billion, one hundred eighty-seven million, two hundred twenty-three thousand, seventy-two".