Search a number
-
+
225746204322513 = 373750792922043
BaseRepresentation
bin110011010101000010100010…
…010100010110101011010001
31002121022010102010021212100110
4303111002202110112223101
5214042111211301310023
62120042212524311533
765356424250234000
oct6325024224265321
91077263363255313
10225746204322513
1165a2547816a946
122139b1630a25a9
1398c6a113609c4
143da62630d4c37
151b1729bc2da93
hexcd50a2516ad1

225746204322513 has 32 divisors (see below), whose sum is σ = 351019301632000. Its totient is φ = 128996068734288.

The previous prime is 225746204322421. The next prime is 225746204322521. The reversal of 225746204322513 is 315223402647522.

It is not a de Polignac number, because 225746204322513 - 28 = 225746204322257 is a prime.

It is a super-2 number, since 2×2257462043225132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225746204322523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75795270 + ... + 78717312.

It is an arithmetic number, because the mean of its divisors is an integer number (10969353176000).

Almost surely, 2225746204322513 is an apocalyptic number.

It is an amenable number.

225746204322513 is a deficient number, since it is larger than the sum of its proper divisors (125273097309487).

225746204322513 is an equidigital number, since it uses as much as digits as its factorization.

225746204322513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997146 (or 2997132 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 225746204322513 in words is "two hundred twenty-five trillion, seven hundred forty-six billion, two hundred four million, three hundred twenty-two thousand, five hundred thirteen".

Divisors: 1 3 7 21 49 147 343 1029 75079 225237 525553 1576659 2922043 3678871 8766129 11036613 20454301 25752097 61362903 77256291 143180107 429540321 1002260749 3006782247 219384066397 658152199191 1535688464779 4607065394337 10749819253453 32249457760359 75248734774171 225746204322513