Search a number
-
+
422804720160 = 2536523173911
BaseRepresentation
bin1100010011100010010…
…00000000101000100000
31111102022222200012000000
412021301020000220200
523411401002021120
6522122300300000
742355331552424
oct6116110005040
91442288605000
10422804720160
11153346273169
1269b38541600
1330b411067b4
141666cb7ab84
15aee89d2990
hex6271200a20

422804720160 has 672 divisors, whose sum is σ = 1573501966848. Its totient is φ = 107104757760.

The previous prime is 422804720053. The next prime is 422804720167. The reversal of 422804720160 is 61027408224.

422804720160 is a `hidden beast` number, since 4 + 2 + 28 + 0 + 472 + 0 + 160 = 666.

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 (422804720167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 464110105 + ... + 464111015.

It is an arithmetic number, because the mean of its divisors is an integer number (2341520784).

Almost surely, 2422804720160 is an apocalyptic number.

422804720160 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 422804720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786750983424).

422804720160 is an abundant number, since it is smaller than the sum of its proper divisors (1150697246688).

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

422804720160 is a wasteful number, since it uses less digits than its factorization.

422804720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 422804720160 in words is "four hundred twenty-two billion, eight hundred four million, seven hundred twenty thousand, one hundred sixty".