Search a number
-
+
2199986065225 = 5213219212012
BaseRepresentation
bin100000000000111001011…
…000110100111101001001
321210022112210220120112201
4200000321120310331021
5242021032413041400
64402354252240201
7314641464003634
oct40007130647511
97708483816481
102199986065225
11779010864643
122b6456a70061
1312c5c4a14a00
14786a0b84c1b
153c3600ed06a
hex20039634f49

2199986065225 has 81 divisors (see below), whose sum is σ = 3120222291039. Its totient is φ = 1537818048000.

The previous prime is 2199986065099. The next prime is 2199986065241. The reversal of 2199986065225 is 5225606899912.

The square root of 2199986065225 is 1483235.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1709616395529 + 490369669696 = 1307523^2 + 700264^2 .

It is a de Polignac number, because none of the positive numbers 2k-2199986065225 is a prime.

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 1831794625 + ... + 1831795825.

Almost surely, 22199986065225 is an apocalyptic number.

2199986065225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2199986065225 is the 1483235-th square number.

2199986065225 is the 741618-th centered octagonal number.

It is an amenable number.

2199986065225 is a deficient number, since it is larger than the sum of its proper divisors (920236225814).

2199986065225 is an equidigital number, since it uses as much as digits as its factorization.

2199986065225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 64.

Multiplying 2199986065225 by its sum of digits (64), we get a square (140799108174400 = 118658802).

The spelling of 2199986065225 in words is "two trillion, one hundred ninety-nine billion, nine hundred eighty-six million, sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 169 247 325 361 475 845 1201 1235 1805 3211 4225 4693 6005 6175 9025 15613 16055 22819 23465 30025 61009 78065 80275 114095 117325 202969 296647 305045 390325 433561 570475 1014845 1442401 1483235 1525225 2167805 3856411 5074225 5636293 7212005 7416175 10839025 18751213 19282055 27405619 28181465 36060025 73271809 93756065 96410275 137028095 140907325 243765769 356273047 366359045 468780325 520706761 685140475 1218828845 1781365235 1831795225 2603533805 4631549611 6094144225 6769187893 8906826175 13017669025 23157748055 33845939465 87999442609 115788740275 169229697325 439997213045 2199986065225