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466740225 = 34527191733
BaseRepresentation
bin11011110100011…
…110010000000001
31012112020212020000
4123310132100001
51423441141400
6114151510213
714365140450
oct3364362001
91175225200
10466740225
1121a50a926
12110388369
137590b463
1445db8b97
152ae98600
hex1bd1e401

466740225 has 120 divisors (see below), whose sum is σ = 1040677440. Its totient is φ = 202020480.

The previous prime is 466740223. The next prime is 466740233. The reversal of 466740225 is 522047664.

It is not a de Polignac number, because 466740225 - 21 = 466740223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 466740225.

It is not an unprimeable number, because it can be changed into a prime (466740223) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 268459 + ... + 270191.

It is an arithmetic number, because the mean of its divisors is an integer number (8672312).

Almost surely, 2466740225 is an apocalyptic number.

466740225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

466740225 is an abundant number, since it is smaller than the sum of its proper divisors (573937215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466740225 is a wasteful number, since it uses less digits than its factorization.

466740225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466740225 is about 21604.1714721949. The cubic root of 466740225 is about 775.6963425799.

Adding to 466740225 its reverse (522047664), we get a palindrome (988787889).

The spelling of 466740225 in words is "four hundred sixty-six million, seven hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 81 95 105 133 135 171 175 189 225 285 315 399 405 475 513 525 567 665 675 855 945 1197 1425 1539 1575 1733 1995 2025 2565 2835 3325 3591 4275 4725 5199 5985 7695 8665 9975 10773 12131 12825 14175 15597 17955 25995 29925 32927 36393 38475 43325 46791 53865 60655 77985 89775 98781 109179 129975 140373 164635 181965 230489 233955 269325 296343 303275 327537 389925 493905 545895 691467 701865 823175 889029 909825 982611 1152445 1169775 1481715 1637685 2074401 2469525 2667087 2729475 3457335 3509325 4445145 4913055 5762225 6223203 7408575 8188425 10372005 13335435 17286675 18669609 22225725 24565275 31116015 51860025 66677175 93348045 155580075 466740225