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501222225 = 35272294703
BaseRepresentation
bin11101111000000…
…000101101010001
31021221010201122010
4131320000231101
52011303102400
6121422533133
715264214200
oct3570005521
91257121563
10501222225
11237a21749
1211ba371a9
137cac24ca
144a7d3237
152e00a450
hex1de00b51

501222225 has 72 divisors (see below), whose sum is σ = 997436160. Its totient is φ = 221182080.

The previous prime is 501222193. The next prime is 501222259. The reversal of 501222225 is 522222105.

It is not a de Polignac number, because 501222225 - 25 = 501222193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 104224 + ... + 108926.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2501222225 is an apocalyptic number.

It is an amenable number.

501222225 is a deficient number, since it is larger than the sum of its proper divisors (496213935).

501222225 is a wasteful number, since it uses less digits than its factorization.

501222225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 501222225 is about 22387.9928756465. The cubic root of 501222225 is about 794.3467201569.

The spelling of 501222225 in words is "five hundred one million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 49 75 87 105 145 147 175 203 245 435 525 609 725 735 1015 1225 1421 2175 3045 3675 4263 4703 5075 7105 14109 15225 21315 23515 32921 35525 70545 98763 106575 117575 136387 164605 230447 352725 409161 493815 681935 691341 823025 954709 1152235 2045805 2469075 2864127 3409675 3456705 4773545 5761175 6682963 10229025 14320635 17283525 20048889 23867725 33414815 71603175 100244445 167074075 501222225