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2254001225 = 527253149233
BaseRepresentation
bin1000011001011001…
…0101010001001001
312211002022010101212
42012112111101021
514104011014400
61011355022505
7106566460100
oct20626252111
95732263355
102254001225
11a57363533
1252aa3aa35
1329bc8b048
141754d7037
15d2d37335
hex86595449

2254001225 has 72 divisors (see below), whose sum is σ = 3349171800. Its totient is φ = 1499796480.

The previous prime is 2254001209. The next prime is 2254001237. The reversal of 2254001225 is 5221004522.

It can be written as a sum of positive squares in 12 ways, for example, as 1153553296 + 1100447929 = 33964^2 + 33173^2 .

It is not a de Polignac number, because 2254001225 - 24 = 2254001209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2254001225.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9673709 + ... + 9673941.

It is an arithmetic number, because the mean of its divisors is an integer number (46516275).

Almost surely, 22254001225 is an apocalyptic number.

2254001225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2254001225 is a deficient number, since it is larger than the sum of its proper divisors (1095170575).

2254001225 is a wasteful number, since it uses less digits than its factorization.

2254001225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2254001225 is about 47476.3227830463. The cubic root of 2254001225 is about 1311.1469908960.

Adding to 2254001225 its reverse (5221004522), we get a palindrome (7475005747).

The spelling of 2254001225 in words is "two billion, two hundred fifty-four million, one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 53 149 175 233 245 265 371 745 1043 1165 1225 1325 1631 1855 2597 3725 5215 5825 7301 7897 8155 9275 11417 12349 12985 26075 34717 36505 39485 40775 55279 57085 61745 64925 86443 173585 182525 197425 243019 276395 285425 308725 386953 432215 605101 867925 1215095 1381975 1701133 1840001 1934765 2161075 3025505 6075475 8505665 9200005 9673825 12880007 15127525 42528325 46000025 64400035 90160049 322000175 450800245 2254001225