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225425120 = 25519292557
BaseRepresentation
bin11010110111110…
…11011011100000
3120201011210010112
431123323123200
5430202100440
634211350452
75405040044
oct1533733340
9521153115
10225425120
11106279258
12635b2428
1337919b5b
1421d20024
1514bcc965
hexd6fb6e0

225425120 has 96 divisors (see below), whose sum is σ = 580154400. Its totient is φ = 82446336.

The previous prime is 225425119. The next prime is 225425129. The reversal of 225425120 is 21524522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225425129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86882 + ... + 89438.

It is an arithmetic number, because the mean of its divisors is an integer number (6043275).

Almost surely, 2225425120 is an apocalyptic number.

225425120 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 225425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290077200).

225425120 is an abundant number, since it is smaller than the sum of its proper divisors (354729280).

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

225425120 is a wasteful number, since it uses less digits than its factorization.

225425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 225425120 is about 15014.1639793896. The cubic root of 225425120 is about 608.6030201423.

Adding to 225425120 its reverse (21524522), we get a palindrome (246949642).

The spelling of 225425120 in words is "two hundred twenty-five million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 380 464 551 580 608 760 928 1102 1160 1520 2204 2320 2557 2755 3040 4408 4640 5114 5510 8816 10228 11020 12785 17632 20456 22040 25570 40912 44080 48583 51140 74153 81824 88160 97166 102280 148306 194332 204560 242915 296612 370765 388664 409120 485830 593224 741530 777328 971660 1186448 1408907 1483060 1554656 1943320 2372896 2817814 2966120 3886640 5635628 5932240 7044535 7773280 11271256 11864480 14089070 22542512 28178140 45085024 56356280 112712560 225425120