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2270884420 = 225722317229
BaseRepresentation
bin1000011101011010…
…1111001001000100
312212021001212210101
42013112233021010
514122321300140
61013200533444
7110163125200
oct20726571104
95767055711
102270884420
11a65945092
12534621284
132a261c8bc
1417784db00
15d456e99a
hex875af244

2270884420 has 36 divisors (see below), whose sum is σ = 5547448620. Its totient is φ = 778588608.

The previous prime is 2270884417. The next prime is 2270884423. The reversal of 2270884420 is 244880722.

It is an interprime number because it is at equal distance from previous prime (2270884417) and next prime (2270884423).

It can be written as a sum of positive squares in 2 ways, for example, as 1058591296 + 1212293124 = 32536^2 + 34818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2270884420.

It is not an unprimeable number, because it can be changed into a prime (2270884423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157635 + ... + 1159594.

It is an arithmetic number, because the mean of its divisors is an integer number (154095795).

Almost surely, 22270884420 is an apocalyptic number.

2270884420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270884420 is an abundant number, since it is smaller than the sum of its proper divisors (3276564200).

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

2270884420 is a wasteful number, since it uses less digits than its factorization.

2270884420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317252 (or 2317243 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 2270884420 is about 47653.7975401751. The cubic root of 2270884420 is about 1314.4124889300.

The spelling of 2270884420 in words is "two billion, two hundred seventy million, eight hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2317229 4634458 9268916 11586145 16220603 23172290 32441206 46344580 64882412 81103015 113544221 162206030 227088442 324412060 454176884 567721105 1135442210 2270884420