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225807000 = 2335375269
BaseRepresentation
bin11010111010110…
…00101010011000
3120201220011222020
431131120222120
5430301311000
634223454440
75411220306
oct1535305230
9521804866
10225807000
1110650a161
1263757420
1337a21913
1421dbd276
1514c55ba0
hexd758a98

225807000 has 64 divisors (see below), whose sum is σ = 704527200. Its totient is φ = 60214400.

The previous prime is 225806989. The next prime is 225807011. The reversal of 225807000 is 708522.

225807000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225806989) and next prime (225807011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34635 + ... + 40634.

Almost surely, 2225807000 is an apocalyptic number.

225807000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225807000 is an abundant number, since it is smaller than the sum of its proper divisors (478720200).

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

225807000 is a wasteful number, since it uses less digits than its factorization.

225807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75293 (or 75279 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 225807000 is about 15026.8759228257. The cubic root of 225807000 is about 608.9464929627.

The spelling of 225807000 in words is "two hundred twenty-five million, eight hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 75269 150538 225807 301076 376345 451614 602152 752690 903228 1129035 1505380 1806456 1881725 2258070 3010760 3763450 4516140 5645175 7526900 9032280 9408625 11290350 15053800 18817250 22580700 28225875 37634500 45161400 56451750 75269000 112903500 225807000