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2285070480 = 2433571121249
BaseRepresentation
bin1000100000110011…
…0110100010010000
312220020202121102000
42020030312202100
514134434223410
61014424554000
7110424531030
oct21014664220
95806677360
102285070480
11a72954300
12539322900
132a5548914
141796a38c0
15d5922dc0
hex88336890

2285070480 has 480 divisors, whose sum is σ = 9895200000. Its totient is φ = 474439680.

The previous prime is 2285070451. The next prime is 2285070499. The reversal of 2285070480 is 840705822.

It is a happy number.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1828896 + ... + 1830144.

It is an arithmetic number, because the mean of its divisors is an integer number (20615000).

Almost surely, 22285070480 is an apocalyptic number.

2285070480 is a gapful number since it is divisible by the number (20) 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 2285070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600000).

2285070480 is an abundant number, since it is smaller than the sum of its proper divisors (7610129520).

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

2285070480 is a wasteful number, since it uses less digits than its factorization.

2285070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2285070480 is about 47802.4108178657. The cubic root of 2285070480 is about 1317.1438243519.

The spelling of 2285070480 in words is "two billion, two hundred eighty-five million, seventy thousand, four hundred eighty".