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225004520 = 235131725453
BaseRepresentation
bin11010110100101…
…00101111101000
3120200101102011202
431122110233220
5430100121040
634154343332
75401335566
oct1532245750
9520342152
10225004520
11106011254
126342ab48
1337800590
1421c50a36
1514b48015
hexd694be8

225004520 has 64 divisors (see below), whose sum is σ = 577296720. Its totient is φ = 78188544.

The previous prime is 225004519. The next prime is 225004523. The reversal of 225004520 is 25400522.

It can be written as a sum of positive squares in 8 ways, for example, as 84676804 + 140327716 = 9202^2 + 11846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225004492 and 225004501.

It is not an unprimeable number, because it can be changed into a prime (225004523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3887 + ... + 21566.

Almost surely, 2225004520 is an apocalyptic number.

225004520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225004520 is an abundant number, since it is smaller than the sum of its proper divisors (352292200).

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

225004520 is a wasteful number, since it uses less digits than its factorization.

225004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25494 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 225004520 is about 15000.1506659100. The cubic root of 225004520 is about 608.2242723527.

The spelling of 225004520 in words is "two hundred twenty-five million, four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 25453 50906 101812 127265 203624 254530 330889 432701 509060 661778 865402 1018120 1323556 1654445 1730804 2163505 2647112 3308890 3461608 4327010 5625113 6617780 8654020 11250226 13235560 17308040 22500452 28125565 45000904 56251130 112502260 225004520