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2242431020 = 225346332377
BaseRepresentation
bin1000010110101000…
…1100100000101100
312210021112022001202
42011222030200230
514043030243040
61010303025032
7106366230524
oct20552144054
95707468052
102242431020
11a50880685
12526b9b178
1329976987b
14173b64684
15d1cee015
hex85a8c82c

2242431020 has 24 divisors (see below), whose sum is σ = 4710610464. Its totient is φ = 896685696.

The previous prime is 2242431001. The next prime is 2242431029. The reversal of 2242431020 is 201342422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2242430983 and 2242431001.

It is not an unprimeable number, because it can be changed into a prime (2242431029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53072 + ... + 85448.

It is an arithmetic number, because the mean of its divisors is an integer number (196275436).

Almost surely, 22242431020 is an apocalyptic number.

2242431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242431020 is an abundant number, since it is smaller than the sum of its proper divisors (2468179444).

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

2242431020 is a wasteful number, since it uses less digits than its factorization.

2242431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35849 (or 35847 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2242431020 is about 47354.3136366688. The cubic root of 2242431020 is about 1308.8996879229.

Adding to 2242431020 its reverse (201342422), we get a palindrome (2443773442).

The spelling of 2242431020 in words is "two billion, two hundred forty-two million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 3463 6926 13852 17315 32377 34630 64754 69260 129508 161885 323770 647540 112121551 224243102 448486204 560607755 1121215510 2242431020