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225534300 = 223523124251
BaseRepresentation
bin11010111000101…
…10000101011100
3120201101022220020
431130112011130
5430214044200
634213552140
75406003255
oct1534260534
9521338806
10225534300
11106343292
1263645650
1337957764
1421d4bb2c
1514beeea0
hexd71615c

225534300 has 72 divisors (see below), whose sum is σ = 673623552. Its totient is φ = 58200000.

The previous prime is 225534289. The next prime is 225534329. The reversal of 225534300 is 3435522.

225534300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2826 + ... + 21425.

Almost surely, 2225534300 is an apocalyptic number.

225534300 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 225534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336811776).

225534300 is an abundant number, since it is smaller than the sum of its proper divisors (448089252).

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

225534300 is a wasteful number, since it uses less digits than its factorization.

225534300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24299 (or 24292 counting only the distinct ones).

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

The square root of 225534300 is about 15017.7994393320. The cubic root of 225534300 is about 608.7012590507.

Adding to 225534300 its reverse (3435522), we get a palindrome (228969822).

The spelling of 225534300 in words is "two hundred twenty-five million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 24251 48502 72753 97004 121255 145506 242510 291012 363765 485020 606275 727530 751781 1212550 1455060 1503562 1818825 2255343 2425100 3007124 3637650 3758905 4510686 7275300 7517810 9021372 11276715 15035620 18794525 22553430 37589050 45106860 56383575 75178100 112767150 225534300