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2205400225 = 527175371197
BaseRepresentation
bin1000001101110011…
…1011110010100001
312200200211221100211
42003130323302201
514004040301400
61002501214121
7105436410160
oct20334736241
95620757324
102205400225
11a31988916
12516701341
13291ba2662
1416cc853d7
15cd936dba
hex8373bca1

2205400225 has 96 divisors (see below), whose sum is σ = 3436494336. Its totient is φ = 1369804800.

The previous prime is 2205400217. The next prime is 2205400229. The reversal of 2205400225 is 5220045022.

It is a happy number.

2205400225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2205400225 - 23 = 2205400217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2205400196 and 2205400205.

It is not an unprimeable number, because it can be changed into a prime (2205400229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11194827 + ... + 11195023.

It is an arithmetic number, because the mean of its divisors is an integer number (35796816).

Almost surely, 22205400225 is an apocalyptic number.

2205400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2205400225 is a deficient number, since it is larger than the sum of its proper divisors (1231094111).

2205400225 is a wasteful number, since it uses less digits than its factorization.

2205400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2205400225 is about 46961.6889070229. The cubic root of 2205400225 is about 1301.6547419335.

Adding to 2205400225 its reverse (5220045022), we get a palindrome (7425445247).

The spelling of 2205400225 in words is "two billion, two hundred five million, four hundred thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 53 71 85 119 175 197 265 355 371 425 497 595 901 985 1207 1325 1379 1775 1855 2485 2975 3349 3763 4505 4925 6035 6307 6895 8449 9275 10441 12425 13987 16745 18815 22525 23443 26341 30175 31535 34475 42245 52205 63971 69935 73087 83725 94075 97909 117215 131705 157675 177497 211225 237779 261025 319855 349675 365435 447797 489545 586075 658525 741311 887485 1188895 1242479 1599275 1664453 1827175 2238985 2447725 3706555 4437425 5189177 5944475 6212395 8322265 11194925 12602287 18532775 25945885 31061975 41611325 63011435 88216009 129729425 315057175 441080045 2205400225