Search a number
-
+
42225000 = 23355563
BaseRepresentation
bin1010000100010…
…0110101101000
32221110020210220
42201010311220
541302200000
64105010040
71021622646
oct241046550
987406726
1042225000
11219202a4
1212183920
13899550c
145872196
153a911a0
hex2844d68

42225000 has 96 divisors (see below), whose sum is σ = 132179040. Its totient is φ = 11240000.

The previous prime is 42224999. The next prime is 42225013. The reversal of 42225000 is 52224.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 74719 + ... + 75281.

It is an arithmetic number, because the mean of its divisors is an integer number (1376865).

Almost surely, 242225000 is an apocalyptic number.

42225000 is a gapful number since it is divisible by the number (40) 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 42225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66089520).

42225000 is an abundant number, since it is smaller than the sum of its proper divisors (89954040).

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

42225000 is an equidigital number, since it uses as much as digits as its factorization.

42225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42225000 is about 6498.0766385139. The cubic root of 42225000 is about 348.2222783927. Note that the first 4 decimals are identical.

Adding to 42225000 its reverse (52224), we get a palindrome (42277224).

The spelling of 42225000 in words is "forty-two million, two hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 563 600 625 750 1000 1126 1250 1500 1689 1875 2252 2500 2815 3000 3125 3378 3750 4504 5000 5630 6250 6756 7500 8445 9375 11260 12500 13512 14075 15000 16890 18750 22520 25000 28150 33780 37500 42225 56300 67560 70375 75000 84450 112600 140750 168900 211125 281500 337800 351875 422250 563000 703750 844500 1055625 1407500 1689000 1759375 2111250 2815000 3518750 4222500 5278125 7037500 8445000 10556250 14075000 21112500 42225000