Search a number
-
+
4221434000 = 24537301531
BaseRepresentation
bin1111101110011101…
…1111100010010000
3101220012101001210102
43323213133202100
532121141342000
61534515551532
7206416411520
oct37347374220
911805331712
104221434000
111876986933
129998bb5a8
13523771a54
142c0915680
1519a9153d5
hexfb9df890

4221434000 has 80 divisors (see below), whose sum is σ = 11665670016. Its totient is φ = 1447344000.

The previous prime is 4221433973. The next prime is 4221434017. The reversal of 4221434000 is 4341224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 136766 + ... + 164765.

Almost surely, 24221434000 is an apocalyptic number.

4221434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221434000 is an abundant number, since it is smaller than the sum of its proper divisors (7444236016).

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

4221434000 is a wasteful number, since it uses less digits than its factorization.

4221434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301561 (or 301545 counting only the distinct ones).

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

The square root of 4221434000 is about 64972.5634402707. The cubic root of 4221434000 is about 1616.1686117077.

Adding to 4221434000 its reverse (4341224), we get a palindrome (4225775224).

The spelling of 4221434000 in words is "four billion, two hundred twenty-one million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 301531 603062 1206124 1507655 2110717 2412248 3015310 4221434 4824496 6030620 7538275 8442868 10553585 12061240 15076550 16885736 21107170 24122480 30153100 33771472 37691375 42214340 52767925 60306200 75382750 84428680 105535850 120612400 150765500 168857360 211071700 263839625 301531000 422143400 527679250 603062000 844286800 1055358500 2110717000 4221434000