Search a number
-
+
225029340 = 22345178171
BaseRepresentation
bin11010110100110…
…10110011011100
3120200102200020000
431122122303130
5430101414330
634155054300
75401501134
oct1532326334
9520380200
10225029340
11106028968
1263441390
133780b973
1421c59ac4
1514b50560
hexd69acdc

225029340 has 120 divisors (see below), whose sum is σ = 747541872. Its totient is φ = 56471040.

The previous prime is 225029339. The next prime is 225029347. The reversal of 225029340 is 43920522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225029347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23455 + ... + 31625.

Almost surely, 2225029340 is an apocalyptic number.

225029340 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 225029340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373770936).

225029340 is an abundant number, since it is smaller than the sum of its proper divisors (522512532).

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

225029340 is a wasteful number, since it uses less digits than its factorization.

225029340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225029340 is about 15000.9779681193. The cubic root of 225029340 is about 608.2466357130.

Adding to 225029340 its reverse (43920522), we get a palindrome (268949862).

The spelling of 225029340 in words is "two hundred twenty-five million, twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 8171 9180 13770 16342 24513 27540 32684 40855 49026 73539 81710 98052 122565 138907 147078 163420 220617 245130 277814 294156 367695 416721 441234 490260 555628 661851 694535 735390 833442 882468 1103085 1250163 1323702 1389070 1470780 1666884 2083605 2206170 2500326 2647404 2778140 3309255 3750489 4167210 4412340 5000652 6250815 6618510 7500978 8334420 11251467 12501630 13237020 15001956 18752445 22502934 25003260 37504890 45005868 56257335 75009780 112514670 225029340