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4221138320 = 245721076821
BaseRepresentation
bin1111101110011001…
…0111010110010000
3101220011211001012022
43323212113112100
532121102411240
61534505351012
7206414040500
oct37346272620
911804731168
104221138320
1118767a4773
12999798468
1352369a2a9
142c0879a00
1519a8a79b5
hexfb997590

4221138320 has 60 divisors (see below), whose sum is σ = 11416466844. Its totient is φ = 1447246080.

The previous prime is 4221138269. The next prime is 4221138323. The reversal of 4221138320 is 238311224.

It can be written as a sum of positive squares in 2 ways, for example, as 2183879824 + 2037258496 = 46732^2 + 45136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4221138320.

It is not an unprimeable number, because it can be changed into a prime (4221138323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534491 + ... + 542330.

Almost surely, 24221138320 is an apocalyptic number.

4221138320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221138320 is an abundant number, since it is smaller than the sum of its proper divisors (7195328524).

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

4221138320 is a wasteful number, since it uses less digits than its factorization.

4221138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076848 (or 1076835 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4221138320 is about 64970.2879784290. The cubic root of 4221138320 is about 1616.1308773033.

Adding to 4221138320 its reverse (238311224), we get a palindrome (4459449544).

The spelling of 4221138320 in words is "four billion, two hundred twenty-one million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 1076821 2153642 4307284 5384105 7537747 8614568 10768210 15075494 17229136 21536420 30150988 37688735 43072840 52764229 60301976 75377470 86145680 105528458 120603952 150754940 211056916 263821145 301509880 422113832 527642290 603019760 844227664 1055284580 2110569160 4221138320