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254414225 = 52134161313
BaseRepresentation
bin11110010101000…
…00110110010001
3122201201120201002
433022200312101
51010112223400
641124551345
76206325302
oct1712406621
9581646632
10254414225
1112067919a
1271252555
1340929980
1425b087a9
1517506ed5
hexf2a0d91

254414225 has 48 divisors (see below), whose sum is σ = 354862704. Its totient is φ = 179712000.

The previous prime is 254414203. The next prime is 254414239. The reversal of 254414225 is 522414452.

It can be written as a sum of positive squares in 24 ways, for example, as 198359056 + 56055169 = 14084^2 + 7487^2 .

It is not a de Polignac number, because 254414225 - 28 = 254413969 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812669 + ... + 812981.

It is an arithmetic number, because the mean of its divisors is an integer number (7392973).

Almost surely, 2254414225 is an apocalyptic number.

254414225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

254414225 is a deficient number, since it is larger than the sum of its proper divisors (100448479).

254414225 is a wasteful number, since it uses less digits than its factorization.

254414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its digits is 12800, while the sum is 29.

The square root of 254414225 is about 15950.3675506240. The cubic root of 254414225 is about 633.6466309264.

Adding to 254414225 its reverse (522414452), we get a palindrome (776828677).

The spelling of 254414225 in words is "two hundred fifty-four million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 41 61 65 205 305 313 325 533 793 1025 1525 1565 2501 2665 3965 4069 7825 12505 12833 13325 19093 19825 20345 32513 62525 64165 95465 101725 162565 166829 248209 320825 477325 782813 812825 834145 1241045 3914065 4170725 6205225 10176569 19570325 50882845 254414225