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225050724 = 22343718773
BaseRepresentation
bin11010110101000…
…00000001100100
3120200110202120000
431122200001210
5430103110344
634155341300
75401620363
oct1532400144
9520422500
10225050724
11106042a38
1263451830
1337818612
1421c637da
1514b56a69
hexd6a0064

225050724 has 60 divisors (see below), whose sum is σ = 604259964. Its totient is φ = 72985536.

The previous prime is 225050723. The next prime is 225050729. The reversal of 225050724 is 427050522.

It can be written as a sum of positive squares in 2 ways, for example, as 217857600 + 7193124 = 14760^2 + 2682^2 .

It is a super-3 number, since 3×2250507243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225050723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2602 + ... + 21374.

Almost surely, 2225050724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225050724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302129982).

225050724 is an abundant number, since it is smaller than the sum of its proper divisors (379209240).

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

225050724 is a wasteful number, since it uses less digits than its factorization.

225050724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18815 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225050724 is about 15001.6907047173. The cubic root of 225050724 is about 608.2659018437.

The spelling of 225050724 in words is "two hundred twenty-five million, fifty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 18773 37546 56319 75092 112638 168957 225276 337914 506871 675828 694601 1013742 1389202 1520613 2027484 2083803 2778404 3041226 4167606 6082452 6251409 8335212 12502818 18754227 25005636 37508454 56262681 75016908 112525362 225050724