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1474225920 = 2834559241
BaseRepresentation
bin101011111011110…
…1110011100000000
310210202000102210000
41113313232130000
511004400212140
6402141440000
751350466516
oct12767563400
93722012700
101474225920
11697186832
12351870000
131a656993b
14ddb144b6
1589657a30
hex57dee700

1474225920 has 360 divisors, whose sum is σ = 5386716720. Its totient is φ = 384860160.

The previous prime is 1474225897. The next prime is 1474225937. The reversal of 1474225920 is 295224741.

1474225920 is a `hidden beast` number, since 1 + 47 + 4 + 22 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6117000 + ... + 6117240.

It is an arithmetic number, because the mean of its divisors is an integer number (14963102).

Almost surely, 21474225920 is an apocalyptic number.

1474225920 is a gapful number since it is divisible by the number (10) 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 1474225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693358360).

1474225920 is an abundant number, since it is smaller than the sum of its proper divisors (3912490800).

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

1474225920 is an equidigital number, since it uses as much as digits as its factorization.

1474225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1474225920 is about 38395.6497535854. The cubic root of 1474225920 is about 1138.1198926895.

The spelling of 1474225920 in words is "one billion, four hundred seventy-four million, two hundred twenty-five thousand, nine hundred twenty".