Search a number
-
+
225342740 = 22572576263
BaseRepresentation
bin11010110111001…
…11010100010100
3120201000121010102
431123213110110
5430141431430
634205513232
75404244630
oct1533472424
9521017112
10225342740
11106222377
1263572818
13378bb4cc
1421cdbdc0
1514bb3345
hexd6e7514

225342740 has 48 divisors (see below), whose sum is σ = 543013632. Its totient is φ = 76947456.

The previous prime is 225342727. The next prime is 225342743. The reversal of 225342740 is 47243522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342743) 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, 32849 + ... + 39111.

It is an arithmetic number, because the mean of its divisors is an integer number (11312784).

Almost surely, 2225342740 is an apocalyptic number.

225342740 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 225342740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271506816).

225342740 is an abundant number, since it is smaller than the sum of its proper divisors (317670892).

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

225342740 is a wasteful number, since it uses less digits than its factorization.

225342740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 225342740 is about 15011.4203192103. The cubic root of 225342740 is about 608.5288745673.

The spelling of 225342740 in words is "two hundred twenty-five million, three hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 6263 7196 8995 12526 17990 25052 31315 35980 43841 62630 87682 125260 175364 219205 438410 876820 1609591 3219182 6438364 8047955 11267137 16095910 22534274 32191820 45068548 56335685 112671370 225342740