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225814380 = 223511342143
BaseRepresentation
bin11010111010110…
…10011101101100
3120201220120002120
431131122131230
5430302030010
634223552540
75411250651
oct1535323554
9521816076
10225814380
11106514760
126375b750
1337a2509c
1421dc1c28
1514c57e70
hexd75a76c

225814380 has 48 divisors (see below), whose sum is σ = 689762304. Its totient is φ = 54742720.

The previous prime is 225814363. The next prime is 225814399. The reversal of 225814380 is 83418522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 170412 + ... + 171731.

It is an arithmetic number, because the mean of its divisors is an integer number (14370048).

Almost surely, 2225814380 is an apocalyptic number.

225814380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225814380 is an abundant number, since it is smaller than the sum of its proper divisors (463947924).

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

225814380 is a wasteful number, since it uses less digits than its factorization.

225814380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342166 (or 342164 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 225814380 is about 15027.1214808426. The cubic root of 225814380 is about 608.9531269114.

The spelling of 225814380 in words is "two hundred twenty-five million, eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 342143 684286 1026429 1368572 1710715 2052858 3421430 3763573 4105716 5132145 6842860 7527146 10264290 11290719 15054292 18817865 20528580 22581438 37635730 45162876 56453595 75271460 112907190 225814380