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42240220 = 225111011901
BaseRepresentation
bin1010000100100…
…0100011011100
32221111000200121
42201020203130
541303141340
64105204324
71022015221
oct241104334
987430617
1042240220
1121930780
12121906a4
13899c419
145877948
153a9594a
hex28488dc

42240220 has 48 divisors (see below), whose sum is σ = 97778016. Its totient is φ = 15200000.

The previous prime is 42240181. The next prime is 42240221. The reversal of 42240220 is 2204224.

It is a junction number, because it is equal to n+sod(n) for n = 42240194 and 42240203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21270 + ... + 23170.

It is an arithmetic number, because the mean of its divisors is an integer number (2037042).

Almost surely, 242240220 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 42240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48889008).

42240220 is an abundant number, since it is smaller than the sum of its proper divisors (55537796).

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

42240220 is a wasteful number, since it uses less digits than its factorization.

42240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42240220 is about 6499.2476487667. The cubic root of 42240220 is about 348.2641122700.

Adding to 42240220 its reverse (2204224), we get a palindrome (44444444).

The spelling of 42240220 in words is "forty-two million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1901 2020 2222 3802 4444 5555 7604 9505 11110 19010 20911 22220 38020 41822 83644 104555 192001 209110 384002 418220 768004 960005 1920010 2112011 3840020 4224022 8448044 10560055 21120110 42240220