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2238774480 = 2432529179599
BaseRepresentation
bin1000010101110000…
…1111110011010000
312210000122112020100
42011130033303100
514041111240410
61010052412400
7106323161205
oct20534176320
95700575210
102238774480
11a49803448
12525917100
13298a89437
14173491cac
15d182a8c0
hex8570fcd0

2238774480 has 240 divisors, whose sum is σ = 7834320000. Its totient is φ = 572242944.

The previous prime is 2238774479. The next prime is 2238774487. The reversal of 2238774480 is 844778322.

2238774480 is a `hidden beast` number, since 2 + 23 + 87 + 74 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22387744802 = 10024222344598540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238774487) 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, 3737221 + ... + 3737819.

It is an arithmetic number, because the mean of its divisors is an integer number (32643000).

Almost surely, 22238774480 is an apocalyptic number.

2238774480 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 2238774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160000).

2238774480 is an abundant number, since it is smaller than the sum of its proper divisors (5595545520).

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

2238774480 is a wasteful number, since it uses less digits than its factorization.

2238774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2238774480 is about 47315.6895754463. The cubic root of 2238774480 is about 1308.1878640469.

The spelling of 2238774480 in words is "two billion, two hundred thirty-eight million, seven hundred seventy-four thousand, four hundred eighty".