Search a number
-
+
2290409208 = 23323110132
BaseRepresentation
bin1000100010000100…
…1101111011111000
312220121210211202200
42020201031323320
514142321043313
61015135230200
7110521104603
oct21041157370
95817724680
102290409208
11a7597037a
1253b078360
132a6697929
1417a29333a
15d6129b73
hex8884def8

2290409208 has 72 divisors (see below), whose sum is σ = 6409621920. Its totient is φ = 738112320.

The previous prime is 2290409189. The next prime is 2290409227. The reversal of 2290409208 is 8029040922.

2290409208 is a `hidden beast` number, since 229 + 0 + 409 + 20 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2290409189) and next prime (2290409227).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2260510 + ... + 2261522.

Almost surely, 22290409208 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 2290409208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204810960).

2290409208 is an abundant number, since it is smaller than the sum of its proper divisors (4119212712).

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

2290409208 is a wasteful number, since it uses less digits than its factorization.

2290409208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2290409208 is about 47858.2198582438. The cubic root of 2290409208 is about 1318.1687968804.

The spelling of 2290409208 in words is "two billion, two hundred ninety million, four hundred nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1013 1116 2026 2232 3039 4052 6078 8104 9117 12156 18234 24312 31403 36468 62806 72936 94209 125612 188418 251224 282627 376836 565254 753672 1026169 1130508 2052338 2261016 3078507 4104676 6157014 8209352 9235521 12314028 18471042 24628056 31811239 36942084 63622478 73884168 95433717 127244956 190867434 254489912 286301151 381734868 572602302 763469736 1145204604 2290409208