Search a number
-
+
4221020000 = 2554211051
BaseRepresentation
bin1111101110010111…
…1010011101100000
3101220011121000220002
43323211322131200
532121040120000
61534503035132
7206413035521
oct37345723540
911804530802
104221020000
11187672388a
1299973baa8
13523658492
142c0848848
1519a8828d5
hexfb97a760

4221020000 has 60 divisors (see below), whose sum is σ = 10384391556. Its totient is φ = 1688400000.

The previous prime is 4221019997. The next prime is 4221020003. The reversal of 4221020000 is 201224.

It is an interprime number because it is at equal distance from previous prime (4221019997) and next prime (4221020003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221020003) 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 9 ways as a sum of consecutive naturals, for example, 85526 + ... + 125525.

Almost surely, 24221020000 is an apocalyptic number.

4221020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221020000 is an abundant number, since it is smaller than the sum of its proper divisors (6163371556).

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

4221020000 is an equidigital number, since it uses as much as digits as its factorization.

4221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211081 (or 211058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4221020000 is about 64969.3774019730. The cubic root of 4221020000 is about 1616.1157769222.

Adding to 4221020000 its reverse (201224), we get a palindrome (4221221224).

The spelling of 4221020000 in words is "four billion, two hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 211051 422102 844204 1055255 1688408 2110510 3376816 4221020 5276275 6753632 8442040 10552550 16884080 21105100 26381375 33768160 42210200 52762750 84420400 105525500 131906875 168840800 211051000 263813750 422102000 527627500 844204000 1055255000 2110510000 4221020000