Search a number
-
+
225033420 = 223517415381
BaseRepresentation
bin11010110100110…
…11110011001100
3120200102212211010
431122123303030
5430102032140
634155125220
75401516053
oct1532336314
9520385733
10225033420
11106030a37
1263443810
1337810791
1421c5b39a
1514b51880
hexd69bccc

225033420 has 96 divisors (see below), whose sum is σ = 683557056. Its totient is φ = 55091200.

The previous prime is 225033407. The next prime is 225033439. The reversal of 225033420 is 24330522.

225033420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39130 + ... + 44510.

It is an arithmetic number, because the mean of its divisors is an integer number (7120386).

Almost surely, 2225033420 is an apocalyptic number.

225033420 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 225033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341778528).

225033420 is an abundant number, since it is smaller than the sum of its proper divisors (458523636).

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

225033420 is a wasteful number, since it uses less digits than its factorization.

225033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 225033420 is about 15001.1139586365. The cubic root of 225033420 is about 608.2503117244.

Adding to 225033420 its reverse (24330522), we get a palindrome (249363942).

The spelling of 225033420 in words is "two hundred twenty-five million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 5381 6970 8364 10455 10762 13940 16143 20910 21524 26905 32286 41820 53810 64572 80715 91477 107620 161430 182954 220621 274431 322860 365908 441242 457385 548862 661863 882484 914770 1097724 1103105 1323726 1372155 1829540 2206210 2647452 2744310 3309315 3750557 4412420 5488620 6618630 7501114 11251671 13237260 15002228 18752785 22503342 37505570 45006684 56258355 75011140 112516710 225033420