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2242442020 = 2257133833217
BaseRepresentation
bin1000010110101000…
…1111001100100100
312210021112212011011
42011222033030210
514043031121040
61010303152004
7106366304560
oct20552171444
95707485134
102242442020
11a50888975
12526ba5604
13299771890
14173b686a0
15d1d023ea
hex85a8f324

2242442020 has 96 divisors (see below), whose sum is σ = 5812789248. Its totient is φ = 707622912.

The previous prime is 2242441979. The next prime is 2242442029. The reversal of 2242442020 is 202442422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2242441982 and 2242442000.

It is not an unprimeable number, because it can be changed into a prime (2242442029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695452 + ... + 698668.

It is an arithmetic number, because the mean of its divisors is an integer number (60549888).

Almost surely, 22242442020 is an apocalyptic number.

2242442020 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 2242442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906394624).

2242442020 is an abundant number, since it is smaller than the sum of its proper divisors (3570347228).

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

2242442020 is a wasteful number, since it uses less digits than its factorization.

2242442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2242442020 is about 47354.4297822284. The cubic root of 2242442020 is about 1308.9018281408.

Adding to 2242442020 its reverse (202442422), we get a palindrome (2444884442).

The spelling of 2242442020 in words is "two billion, two hundred forty-two million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 383 455 766 910 1532 1820 1915 2681 3217 3830 4979 5362 6434 7660 9958 10724 12868 13405 16085 19916 22519 24895 26810 32170 34853 41821 45038 49790 53620 64340 69706 83642 90076 99580 112595 139412 167284 174265 209105 225190 292747 348530 418210 450380 585494 697060 836420 1170988 1232111 1463735 2464222 2927470 4928444 5854940 6160555 8624777 12321110 16017443 17249554 24642220 32034886 34499108 43123885 64069772 80087215 86247770 112122101 160174430 172495540 224244202 320348860 448488404 560610505 1121221010 2242442020