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4221134440 = 235293638909
BaseRepresentation
bin1111101110011001…
…0110011001101000
3101220011210211212121
43323212112121220
532121102300230
61534505321024
7206414023255
oct37346263150
911804724777
104221134440
1118767a1866
12999796174
135236985b3
142c087842c
1519a8a677a
hexfb996668

4221134440 has 32 divisors (see below), whose sum is σ = 9825057000. Its totient is φ = 1630230784.

The previous prime is 4221134417. The next prime is 4221134443. The reversal of 4221134440 is 444311224.

It can be written as a sum of positive squares in 4 ways, for example, as 3698829124 + 522305316 = 60818^2 + 22854^2 .

It is a super-2 number, since 2×42211344402 = 35635951921108227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4221134443) 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, 1818295 + ... + 1820614.

Almost surely, 24221134440 is an apocalyptic number.

4221134440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221134440 is an abundant number, since it is smaller than the sum of its proper divisors (5603922560).

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

4221134440 is a wasteful number, since it uses less digits than its factorization.

4221134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638949 (or 3638945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4221134440 is about 64970.2581186192. The cubic root of 4221134440 is about 1616.1303821296.

Adding to 4221134440 its reverse (444311224), we get a palindrome (4665445664).

The spelling of 4221134440 in words is "four billion, two hundred twenty-one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 3638909 7277818 14555636 18194545 29111272 36389090 72778180 105528361 145556360 211056722 422113444 527641805 844226888 1055283610 2110567220 4221134440