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2270900000 = 255522709
BaseRepresentation
bin1000011101011011…
…0010111100100000
312212021002200011102
42013112302330200
514122322300000
61013201133532
7110163221465
oct20726627440
95767080142
102270900000
11a65955866
1253462a2a8
132a2626a15
1417785566c
15d45743d5
hex875b2f20

2270900000 has 72 divisors (see below), whose sum is σ = 5588431380. Its totient is φ = 908320000.

The previous prime is 2270899991. The next prime is 2270900011. The reversal of 2270900000 is 90722.

It can be written as a sum of positive squares in 6 ways, for example, as 975187984 + 1295712016 = 31228^2 + 35996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88646 + ... + 111354.

Almost surely, 22270900000 is an apocalyptic number.

2270900000 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 2270900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794215690).

2270900000 is an abundant number, since it is smaller than the sum of its proper divisors (3317531380).

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

2270900000 is an frugal number, since it uses more digits than its factorization.

2270900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22744 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2270900000 is about 47653.9610106023. The cubic root of 2270900000 is about 1314.4154948807.

Adding to 2270900000 its reverse (90722), we get a palindrome (2270990722).

The spelling of 2270900000 in words is "two billion, two hundred seventy million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 22709 25000 45418 50000 90836 100000 113545 181672 227090 363344 454180 567725 726688 908360 1135450 1816720 2270900 2838625 3633440 4541800 5677250 9083600 11354500 14193125 18167200 22709000 28386250 45418000 56772500 70965625 90836000 113545000 141931250 227090000 283862500 454180000 567725000 1135450000 2270900000