Search a number
-
+
10224515460225 = 3521182315058751
BaseRepresentation
bin1001010011001001010010…
…0111001010110010000001
31100012110021001200100112010
42110302110213022302001
52320004301424211400
633425024430323133
72103461011306263
oct224622447126201
940173231610463
1010224515460225
113292213474350
1211916b56594a9
135922244aca81
14274c250a7b33
1512ae6a777450
hex94c949cac81

10224515460225 has 48 divisors (see below), whose sum is σ = 18463716532224. Its totient is φ = 4951317000000.

The previous prime is 10224515460163. The next prime is 10224515460319. The reversal of 10224515460225 is 52206451542201.

It is not a de Polignac number, because 10224515460225 - 26 = 10224515460161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6850401 + ... + 8208350.

It is an arithmetic number, because the mean of its divisors is an integer number (384660761088).

Almost surely, 210224515460225 is an apocalyptic number.

10224515460225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10224515460225 is a deficient number, since it is larger than the sum of its proper divisors (8239201071999).

10224515460225 is a wasteful number, since it uses less digits than its factorization.

10224515460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15059598 (or 15059593 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 10224515460225 in words is "ten trillion, two hundred twenty-four billion, five hundred fifteen million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 823 825 2469 4115 9053 12345 20575 27159 45265 61725 135795 226325 678975 15058751 45176253 75293755 165646261 225881265 376468775 496938783 828231305 1129406325 2484693915 4141156525 12393352073 12423469575 37180056219 61966760365 136326872803 185900281095 309833801825 408980618409 681634364015 929501405475 2044903092045 3408171820075 10224515460225