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220425840 = 243351941131
BaseRepresentation
bin11010010001101…
…10111001110000
3120100202210102000
431020312321300
5422412111330
633512254000
75314405635
oct1510667160
9510683360
10220425840
11103474218
12619a1300
13368894bb
14213bc18c
1514541560
hexd236e70

220425840 has 320 divisors, whose sum is σ = 824947200. Its totient is φ = 53913600.

The previous prime is 220425827. The next prime is 220425847. The reversal of 220425840 is 48524022.

It is a happy number.

220425840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220425847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682575 + ... + 1682705.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2220425840 is an apocalyptic number.

220425840 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 220425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

220425840 is an abundant number, since it is smaller than the sum of its proper divisors (604521360).

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

220425840 is a wasteful number, since it uses less digits than its factorization.

220425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 220425840 is about 14846.7450978320. The cubic root of 220425840 is about 604.0703249841.

Adding to 220425840 its reverse (48524022), we get a palindrome (268949862).

The spelling of 220425840 in words is "two hundred twenty million, four hundred twenty-five thousand, eight hundred forty".