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2273430080 = 26514947681
BaseRepresentation
bin1000011110000001…
…1100101001000000
312212102212012210002
42013200130221000
514123444230310
61013331255132
7110223560015
oct20740345100
95772765702
102273430080
11a67323739
1253544a4a8
132a30014cc
14177d1370c
15d48c3da5
hex8781ca40

2273430080 has 56 divisors (see below), whose sum is σ = 5450052600. Its totient is φ = 903249920.

The previous prime is 2273430041. The next prime is 2273430083. The reversal of 2273430080 is 800343722.

It can be written as a sum of positive squares in 4 ways, for example, as 9193024 + 2264237056 = 3032^2 + 47584^2 .

It is not an unprimeable number, because it can be changed into a prime (2273430083) 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 7 ways as a sum of consecutive naturals, for example, 23840 + ... + 71520.

Almost surely, 22273430080 is an apocalyptic number.

2273430080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 47680×47681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725026300).

2273430080 is an abundant number, since it is smaller than the sum of its proper divisors (3176622520).

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

2273430080 is a wasteful number, since it uses less digits than its factorization.

2273430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47847 (or 47837 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2273430080 is about 47680.4999973784. The cubic root of 2273430080 is about 1314.9034573738.

The spelling of 2273430080 in words is "two billion, two hundred seventy-three million, four hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 1192 1490 2384 2980 4768 5960 9536 11920 23840 47680 47681 95362 190724 238405 381448 476810 762896 953620 1525792 1907240 3051584 3814480 7104469 7628960 14208938 15257920 28417876 35522345 56835752 71044690 113671504 142089380 227343008 284178760 454686016 568357520 1136715040 2273430080