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225002680 = 2357899029
BaseRepresentation
bin11010110100101…
…00010010111000
3120200101022122121
431122110102320
5430100041210
634154331024
75401330330
oct1532242270
9520338577
10225002680
1110600a931
1263429a74
13377cc7a6
1421c500c0
1514b476da
hexd6944b8

225002680 has 64 divisors (see below), whose sum is σ = 585144000. Its totient is φ = 76268544.

The previous prime is 225002671. The next prime is 225002699. The reversal of 225002680 is 86200522.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20406 + ... + 29434.

It is an arithmetic number, because the mean of its divisors is an integer number (9142875).

Almost surely, 2225002680 is an apocalyptic number.

225002680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225002680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292572000).

225002680 is an abundant number, since it is smaller than the sum of its proper divisors (360141320).

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

225002680 is a wasteful number, since it uses less digits than its factorization.

225002680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 225002680 is about 15000.0893330673. The cubic root of 225002680 is about 608.2226144072. Note that the first 3 decimals are identical.

The spelling of 225002680 in words is "two hundred twenty-five million, two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 9029 12460 18058 24920 36116 45145 63203 72232 90290 126406 180580 252812 316015 361160 505624 632030 803581 1264060 1607162 2528120 3214324 4017905 5625067 6428648 8035810 11250134 16071620 22500268 28125335 32143240 45000536 56250670 112501340 225002680