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1981225460 = 22599061273
BaseRepresentation
bin111011000010111…
…0001100111110100
312010002000200101202
41312011301213310
513024143203320
6524332312032
7100045065344
oct16605614764
95102020352
101981225460
11927394015
12473612618
13257602976
1414b1acd24
15b8e04b75
hex761719f4

1981225460 has 12 divisors (see below), whose sum is σ = 4160573508. Its totient is φ = 792490176.

The previous prime is 1981225447. The next prime is 1981225471. The reversal of 1981225460 is 645221891.

It can be written as a sum of positive squares in 2 ways, for example, as 1006412176 + 974813284 = 31724^2 + 31222^2 .

It is a super-3 number, since 3×19812254603 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49530617 + ... + 49530656.

It is an arithmetic number, because the mean of its divisors is an integer number (346714459).

Almost surely, 21981225460 is an apocalyptic number.

1981225460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1981225460 is an abundant number, since it is smaller than the sum of its proper divisors (2179348048).

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

1981225460 is a wasteful number, since it uses less digits than its factorization.

1981225460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99061282 (or 99061280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1981225460 is about 44510.9588753152. The cubic root of 1981225460 is about 1255.9662426523.

The spelling of 1981225460 in words is "one billion, nine hundred eighty-one million, two hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 99061273 198122546 396245092 495306365 990612730 1981225460