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225341440 = 212511003
BaseRepresentation
bin11010110111001…
…11000000000000
3120201000112100021
431123213000000
5430141411230
634205503224
75404241062
oct1533470000
9521015307
10225341440
111062213a5
1263571b14
13378baa3c
1421cdb732
1514bb2c7a
hexd6e7000

225341440 has 52 divisors (see below), whose sum is σ = 540802584. Its totient is φ = 90128384.

The previous prime is 225341401. The next prime is 225341447. The reversal of 225341440 is 44143522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225341447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14979 + ... + 25981.

Almost surely, 2225341440 is an apocalyptic number.

225341440 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 225341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270401292).

225341440 is an abundant number, since it is smaller than the sum of its proper divisors (315461144).

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

225341440 is an equidigital number, since it uses as much as digits as its factorization.

225341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 225341440 is about 15011.3770187815. The cubic root of 225341440 is about 608.5277043660.

Adding to 225341440 its reverse (44143522), we get a palindrome (269484962).

The spelling of 225341440 in words is "two hundred twenty-five million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 11003 20480 22006 44012 55015 88024 110030 176048 220060 352096 440120 704192 880240 1408384 1760480 2816768 3520960 5633536 7041920 11267072 14083840 22534144 28167680 45068288 56335360 112670720 225341440