Search a number
-
+
2290669864 = 237293593929
BaseRepresentation
bin1000100010001000…
…1101100100101000
312220122022002022121
42020202031210220
514142402413424
61015145001024
7110523241540
oct21042154450
95818262277
102290669864
11a7602919a
1253b183174
132a6759472
1417a320320
15d617bee4
hex8888d928

2290669864 has 64 divisors (see below), whose sum is σ = 5093280000. Its totient is φ = 944982528.

The previous prime is 2290669861. The next prime is 2290669883. The reversal of 2290669864 is 4689660922.

It is a super-3 number, since 3×22906698643 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2290669861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 581052 + ... + 584980.

It is an arithmetic number, because the mean of its divisors is an integer number (79582500).

Almost surely, 22290669864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290669864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546640000).

2290669864 is an abundant number, since it is smaller than the sum of its proper divisors (2802610136).

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

2290669864 is a wasteful number, since it uses less digits than its factorization.

2290669864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The square root of 2290669864 is about 47860.9429911280. The cubic root of 2290669864 is about 1318.2187989458.

The spelling of 2290669864 in words is "two billion, two hundred ninety million, six hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 359 406 718 812 1436 1624 2513 2872 3929 5026 7858 10052 10411 15716 20104 20822 27503 31432 41644 55006 72877 83288 110012 113941 145754 220024 227882 291508 455764 583016 797587 911528 1410511 1595174 2821022 3190348 5642044 6380696 9873577 11284088 19747154 39494308 40904819 78988616 81809638 163619276 286333733 327238552 572667466 1145334932 2290669864