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2270890420 = 225160170921
BaseRepresentation
bin1000011101011011…
…0000100110110100
312212021002012000121
42013112300212310
514122321443140
61013201021324
7110163151531
oct20726604664
95767065017
102270890420
11a65949647
12534624844
132a2622556
14177851d88
15d457164a
hex875b09b4

2270890420 has 24 divisors (see below), whose sum is σ = 4771915848. Its totient is φ = 907776000.

The previous prime is 2270890387. The next prime is 2270890421. The reversal of 2270890420 is 240980722.

It can be written as a sum of positive squares in 4 ways, for example, as 1503267984 + 767622436 = 38772^2 + 27706^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270890421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3441 + ... + 67480.

It is an arithmetic number, because the mean of its divisors is an integer number (198829827).

Almost surely, 22270890420 is an apocalyptic number.

2270890420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270890420 is an abundant number, since it is smaller than the sum of its proper divisors (2501025428).

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

2270890420 is a wasteful number, since it uses less digits than its factorization.

2270890420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72531 (or 72529 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2270890420 is about 47653.8604941929. The cubic root of 2270890420 is about 1314.4136465507.

The spelling of 2270890420 in words is "two billion, two hundred seventy million, eight hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1601 3202 6404 8005 16010 32020 70921 141842 283684 354605 709210 1418420 113544521 227089042 454178084 567722605 1135445210 2270890420