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4221454040 = 2352313135027
BaseRepresentation
bin1111101110011110…
…0100011011011000
3101220012102002021122
43323213210123120
532121143012130
61534520224412
7206416524116
oct37347443330
911805362248
104221454040
11187699a9a1
1299990b108
1352377abcb
142c091cab6
1519a91b2e5
hexfb9e46d8

4221454040 has 64 divisors (see below), whose sum is σ = 9987183360. Its totient is φ = 1602789760.

The previous prime is 4221454031. The next prime is 4221454043. The reversal of 4221454040 is 404541224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221454043) 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 15 ways as a sum of consecutive naturals, for example, 103007 + ... + 138033.

It is an arithmetic number, because the mean of its divisors is an integer number (156049740).

Almost surely, 24221454040 is an apocalyptic number.

4221454040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993591680).

4221454040 is an abundant number, since it is smaller than the sum of its proper divisors (5765729320).

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

4221454040 is a wasteful number, since it uses less digits than its factorization.

4221454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4221454040 is about 64972.7176590298. The cubic root of 4221454040 is about 1616.1711691299.

Adding to 4221454040 its reverse (404541224), we get a palindrome (4625995264).

The spelling of 4221454040 in words is "four billion, two hundred twenty-one million, four hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 184 230 262 460 524 655 920 1048 1310 2620 3013 5240 6026 12052 15065 24104 30130 35027 60260 70054 120520 140108 175135 280216 350270 700540 805621 1401080 1611242 3222484 4028105 4588537 6444968 8056210 9177074 16112420 18354148 22942685 32224840 36708296 45885370 91770740 105536351 183541480 211072702 422145404 527681755 844290808 1055363510 2110727020 4221454040