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4222140320 = 255100926153
BaseRepresentation
bin1111101110101000…
…1011111110100000
3101220020200221200102
43323222023332200
532121331442240
61534543041532
7206425412666
oct37352137640
911806627612
104222140320
111877319572
12999ba02a8
1352395b3a8
142c0a5ac36
1519aa04815
hexfba8bfa0

4222140320 has 48 divisors (see below), whose sum is σ = 9985074120. Its totient is φ = 1687117824.

The previous prime is 4222140317. The next prime is 4222140323. The reversal of 4222140320 is 230412224.

It is an interprime number because it is at equal distance from previous prime (4222140317) and next prime (4222140323).

It can be written as a sum of positive squares in 4 ways, for example, as 2154073744 + 2068066576 = 46412^2 + 45476^2 .

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 = 4222140292 and 4222140301.

It is not an unprimeable number, because it can be changed into a prime (4222140323) 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, 148364 + ... + 174516.

Almost surely, 24222140320 is an apocalyptic number.

4222140320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222140320 is an abundant number, since it is smaller than the sum of its proper divisors (5762933800).

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

4222140320 is a wasteful number, since it uses less digits than its factorization.

4222140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27177 (or 27169 counting only the distinct ones).

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

The square root of 4222140320 is about 64977.9987380344. The cubic root of 4222140320 is about 1616.2587444725.

Adding to 4222140320 its reverse (230412224), we get a palindrome (4452552544).

The spelling of 4222140320 in words is "four billion, two hundred twenty-two million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1009 2018 4036 5045 8072 10090 16144 20180 26153 32288 40360 52306 80720 104612 130765 161440 209224 261530 418448 523060 836896 1046120 2092240 4184480 26388377 52776754 105553508 131941885 211107016 263883770 422214032 527767540 844428064 1055535080 2111070160 4222140320