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225453300 = 223524317477
BaseRepresentation
bin11010111000000…
…10010011110100
3120201020012210020
431130002103310
5430204001200
634212125140
75405215152
oct1534022364
9521205706
10225453300
11106298446
12636067b0
1337929927
1421d2a3d2
1514bd5ea0
hexd7024f4

225453300 has 72 divisors (see below), whose sum is σ = 667519776. Its totient is φ = 58719360.

The previous prime is 225453251. The next prime is 225453307. The reversal of 225453300 is 3354522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225453307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (9271108).

Almost surely, 2225453300 is an apocalyptic number.

225453300 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 225453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333759888).

225453300 is an abundant number, since it is smaller than the sum of its proper divisors (442066476).

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

225453300 is a wasteful number, since it uses less digits than its factorization.

225453300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17537 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 225453300 is about 15015.1023972532. The cubic root of 225453300 is about 608.6283792186.

The spelling of 225453300 in words is "two hundred twenty-five million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 17477 34954 52431 69908 87385 104862 174770 209724 262155 349540 436925 524310 751511 873850 1048620 1310775 1503022 1747700 2254533 2621550 3006044 3757555 4509066 5243100 7515110 9018132 11272665 15030220 18787775 22545330 37575550 45090660 56363325 75151100 112726650 225453300