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2225411325 = 325241317761
BaseRepresentation
bin1000010010100101…
…0001010011111101
312202002111121102200
42010221101103331
514024201130300
61004454142113
7106101453444
oct20451212375
95662447380
102225411325
11a42206515
12521351939
1329608ab47
141717b3d5b
15d058b200
hex84a514fd

2225411325 has 72 divisors (see below), whose sum is σ = 4101440616. Its totient is φ = 1152768000.

The previous prime is 2225411323. The next prime is 2225411339. The reversal of 2225411325 is 5231145222.

2225411325 is a `hidden beast` number, since 2 + 225 + 411 + 3 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2196703161 + 28708164 = 46869^2 + 5358^2 .

It is not a de Polignac number, because 2225411325 - 21 = 2225411323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225411323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2923945 + ... + 2924705.

It is an arithmetic number, because the mean of its divisors is an integer number (56964453).

Almost surely, 22225411325 is an apocalyptic number.

2225411325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225411325 is a deficient number, since it is larger than the sum of its proper divisors (1876029291).

2225411325 is a wasteful number, since it uses less digits than its factorization.

2225411325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2225411325 is about 47174.2654950769. The cubic root of 2225411325 is about 1305.5798277733.

Adding to 2225411325 its reverse (5231145222), we get a palindrome (7456556547).

The spelling of 2225411325 in words is "two billion, two hundred twenty-five million, four hundred eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 317 369 615 761 951 1025 1585 1845 2283 2853 3075 3805 4755 6849 7925 9225 11415 12997 14265 19025 23775 31201 34245 38991 57075 64985 71325 93603 116973 156005 171225 194955 241237 280809 324925 468015 584865 723711 780025 974775 1206185 1404045 2171133 2340075 2924325 3618555 6030925 7020225 9890717 10855665 18092775 29672151 49453585 54278325 89016453 148360755 247267925 445082265 741803775 2225411325