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225495000 = 2332545011
BaseRepresentation
bin11010111000011…
…00011111011000
3120201022022222200
431130030133120
5430211320000
634213050200
75405450553
oct1534143730
9521268880
10225495000
11106316805
1263626960
13379428c3
1421d3b69a
1514be3500
hexd70c7d8

225495000 has 120 divisors (see below), whose sum is σ = 763302540. Its totient is φ = 60120000.

The previous prime is 225494959. The next prime is 225495001. The reversal of 225495000 is 594522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225495001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42495 + ... + 47505.

Almost surely, 2225495000 is an apocalyptic number.

225495000 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 225495000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381651270).

225495000 is an abundant number, since it is smaller than the sum of its proper divisors (537807540).

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

225495000 is a wasteful number, since it uses less digits than its factorization.

225495000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225495000 is about 15016.4909349688. The cubic root of 225495000 is about 608.6659010156.

The spelling of 225495000 in words is "two hundred twenty-five million, four hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5011 5625 7500 9000 10022 11250 15000 15033 20044 22500 25055 30066 40088 45000 45099 50110 60132 75165 90198 100220 120264 125275 150330 180396 200440 225495 250550 300660 360792 375825 450990 501100 601320 626375 751650 901980 1002200 1127475 1252750 1503300 1803960 1879125 2254950 2505500 3006600 3131875 3758250 4509900 5011000 5637375 6263750 7516500 9019800 9395625 11274750 12527500 15033000 18791250 22549500 25055000 28186875 37582500 45099000 56373750 75165000 112747500 225495000