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225014240 = 25511127849
BaseRepresentation
bin11010110100101…
…11000111100000
3120200101220111202
431122113013200
5430100423430
634154500332
75401406123
oct1532270740
9520356452
10225014240
11106018590
12634346a8
1337804b29
1421c543ba
1514b4ad45
hexd6971e0

225014240 has 48 divisors (see below), whose sum is σ = 579927600. Its totient is φ = 81822720.

The previous prime is 225014233. The next prime is 225014243. The reversal of 225014240 is 42410522.

It is a happy number.

225014240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2250142403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225014243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62165 + ... + 65684.

It is an arithmetic number, because the mean of its divisors is an integer number (12081825).

Almost surely, 2225014240 is an apocalyptic number.

225014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225014240 is an abundant number, since it is smaller than the sum of its proper divisors (354913360).

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

225014240 is a wasteful number, since it uses less digits than its factorization.

225014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127875 (or 127867 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 225014240 is about 15000.4746591566. The cubic root of 225014240 is about 608.2330304802.

Adding to 225014240 its reverse (42410522), we get a palindrome (267424762).

The spelling of 225014240 in words is "two hundred twenty-five million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 127849 255698 511396 639245 1022792 1278490 1406339 2045584 2556980 2812678 4091168 5113960 5625356 7031695 10227920 11250712 14063390 20455840 22501424 28126780 45002848 56253560 112507120 225014240