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2290483881 = 3272432532
BaseRepresentation
bin1000100010000110…
…0000001010101001
312220121221122012100
42020201200022221
514142330441011
61015141004013
7110521535400
oct21041401251
95817848170
102290483881
11a75a11494
1253b0b3609
132a66c290a
1417a2b2637
15d6141d56
hex888602a9

2290483881 has 81 divisors (see below), whose sum is σ = 4015967319. Its totient is φ = 1254288672.

The previous prime is 2290483879. The next prime is 2290483891. The reversal of 2290483881 is 1883840922.

The square root of 2290483881 is 47859.

It is a perfect power (a square), and thus also a powerful number.

2290483881 is a `hidden beast` number, since 2 + 2 + 90 + 483 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1651203225 + 639280656 = 40635^2 + 25284^2 .

It is not a de Polignac number, because 2290483881 - 21 = 2290483879 is a prime.

It is a super-2 number, since 2×22904838812 = 10492632818241644322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2290483841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43216651 + ... + 43216703.

Almost surely, 22290483881 is an apocalyptic number.

2290483881 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2290483881 is the 47859-th square number.

2290483881 is the 23930-th centered octagonal number.

It is an amenable number.

2290483881 is a deficient number, since it is larger than the sum of its proper divisors (1725483438).

2290483881 is an equidigital number, since it uses as much as digits as its factorization.

2290483881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 2290483881 is about 1318.1831219114.

The spelling of 2290483881 in words is "two billion, two hundred ninety million, four hundred eighty-three thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 43 49 53 63 129 147 159 301 371 387 441 477 903 1113 1849 2107 2279 2597 2709 2809 3339 5547 6321 6837 7791 8427 12943 15953 16641 18963 19663 20511 23373 25281 38829 47859 58989 90601 97997 111671 116487 120787 137641 143577 176967 271803 293991 335013 362361 412923 685979 815409 845509 881973 1005039 1087083 1238769 2057937 2536527 4801853 5193841 5918563 6173811 7609581 14405559 15581523 17755689 36356887 43216677 46744569 53267067 109070661 254498209 327211983 763494627 2290483881