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2042220340 = 225103398849
BaseRepresentation
bin111100110111001…
…1100111100110100
312021022210112122101
41321232130330310
513140302022330
6534351511444
7101415405106
oct17156347464
95238715571
102042220340
11958864406
1248bb28584
1326713a704
14155329576
15be4524ca
hex79b9cf34

2042220340 has 24 divisors (see below), whose sum is σ = 4292857800. Its totient is φ = 816089088.

The previous prime is 2042220307. The next prime is 2042220343. The reversal of 2042220340 is 430222402.

It can be written as a sum of positive squares in 4 ways, for example, as 542517264 + 1499703076 = 23292^2 + 38726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042220343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28765 + ... + 70084.

It is an arithmetic number, because the mean of its divisors is an integer number (178869075).

Almost surely, 22042220340 is an apocalyptic number.

2042220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042220340 is an abundant number, since it is smaller than the sum of its proper divisors (2250637460).

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

2042220340 is a wasteful number, since it uses less digits than its factorization.

2042220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99891 (or 99889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2042220340 is about 45190.9320550041. The cubic root of 2042220340 is about 1268.7251016655.

Adding to 2042220340 its reverse (430222402), we get a palindrome (2472442742).

The spelling of 2042220340 in words is "two billion, forty-two million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1033 2066 4132 5165 10330 20660 98849 197698 395396 494245 988490 1976980 102111017 204222034 408444068 510555085 1021110170 2042220340