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2270446240 = 25537672
BaseRepresentation
bin1000011101010100…
…0100001010100000
312212020020121201111
42013111010022200
514122213234430
61013143313104
7110156321536
oct20725041240
95766217644
102270446240
11a65675957
1253444b794
132a24c831a
14177778156
15d44d4c2a
hex875442a0

2270446240 has 36 divisors (see below), whose sum is σ = 5365353546. Its totient is φ = 907937408.

The previous prime is 2270446193. The next prime is 2270446259. The reversal of 2270446240 is 426440722.

It can be written as a sum of positive squares in only one way, i.e., 2043401616 + 227044624 = 45204^2 + 15068^2 .

It is a super-2 number, since 2×22704462402 = 10309852257460275200, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 600837 + ... + 604603.

Almost surely, 22270446240 is an apocalyptic number.

2270446240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270446240 is an abundant number, since it is smaller than the sum of its proper divisors (3094907306).

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

2270446240 is an frugal number, since it uses more digits than its factorization.

2270446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 2270446240 is about 47649.1997834171. The cubic root of 2270446240 is about 1314.3279423825.

Adding to 2270446240 its reverse (426440722), we get a palindrome (2696886962).

The spelling of 2270446240 in words is "two billion, two hundred seventy million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3767 7534 15068 18835 30136 37670 60272 75340 120544 150680 301360 602720 14190289 28380578 56761156 70951445 113522312 141902890 227044624 283805780 454089248 567611560 1135223120 2270446240