Search a number
-
+
2208408969 = 3131931127757
BaseRepresentation
bin1000001110100001…
…1010010110001001
312200220111210120210
42003220122112021
514010323041334
61003045511333
7105504111054
oct20350322611
95626453523
102208408969
11a33653388
12517712549
132926b6c90
1416d429a9b
15cdd2d5e9
hex83a1a589

2208408969 has 64 divisors (see below), whose sum is σ = 3477340160. Its totient is φ = 1234517760.

The previous prime is 2208408949. The next prime is 2208409001. The reversal of 2208408969 is 9698048022.

It is not a de Polignac number, because 2208408969 - 215 = 2208376201 is a prime.

It is a super-2 number, since 2×22084089692 = 9754140348719285922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2208408949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916939 + ... + 2917695.

It is an arithmetic number, because the mean of its divisors is an integer number (54333440).

Almost surely, 22208408969 is an apocalyptic number.

It is an amenable number.

2208408969 is a deficient number, since it is larger than the sum of its proper divisors (1268931191).

2208408969 is a wasteful number, since it uses less digits than its factorization.

2208408969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2208408969 is about 46993.7120155452. The cubic root of 2208408969 is about 1302.2464057087.

The spelling of 2208408969 in words is "two billion, two hundred eight million, four hundred eight thousand, nine hundred sixty-nine".

Divisors: 1 3 13 19 31 39 57 93 127 247 381 403 589 741 757 1209 1651 1767 2271 2413 3937 4953 7239 7657 9841 11811 14383 22971 23467 29523 31369 43149 51181 70401 74803 94107 96139 153543 186979 224409 288417 305071 445873 560937 915213 972439 1249807 1337619 1826641 2917317 2980309 3749421 5479923 5796349 8940927 17389047 23746333 38744017 56625871 71238999 116232051 169877613 736136323 2208408969