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2224242420 = 2235371001911
BaseRepresentation
bin1000010010010011…
…0011111011110100
312202000022012222220
42010210303323310
514023401224140
61004413122340
7106055514531
oct20444637364
95660265886
102224242420
11a41588284
12520a893b0
13295a6ba9a
1417158bd88
15d0409bd0
hex84933ef4

2224242420 has 48 divisors (see below), whose sum is σ = 6396206208. Its totient is φ = 577100160.

The previous prime is 2224242409. The next prime is 2224242431. The reversal of 2224242420 is 242424222.

2224242420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2224242409) and next prime (2224242431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498736 + ... + 503175.

It is an arithmetic number, because the mean of its divisors is an integer number (133254296).

Almost surely, 22224242420 is an apocalyptic number.

2224242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224242420 is an abundant number, since it is smaller than the sum of its proper divisors (4171963788).

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

2224242420 is a wasteful number, since it uses less digits than its factorization.

2224242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001960 (or 1001958 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2224242420 is about 47161.8746446746. The cubic root of 2224242420 is about 1305.3512009654.

Adding to 2224242420 its reverse (242424222), we get a palindrome (2466666642).

It can be divided in two parts, 2 and 224242420, that added together give a palindrome (224242422).

The spelling of 2224242420 in words is "two billion, two hundred twenty-four million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 1001911 2003822 3005733 4007644 5009555 6011466 10019110 12022932 15028665 20038220 30057330 37070707 60114660 74141414 111212121 148282828 185353535 222424242 370707070 444848484 556060605 741414140 1112121210 2224242420