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4022020000 = 2554201101
BaseRepresentation
bin1110111110111011…
…0010011110100000
3101101022010210012201
43233232302132200
531214114120000
61503033502544
7201445414555
oct35756623640
911338123181
104022020000
111784364179
12942b71a54
134c13613bb
142a2246a2c
1518817496a
hexefbb27a0

4022020000 has 60 divisors (see below), whose sum is σ = 9894821706. Its totient is φ = 1608800000.

The previous prime is 4022019979. The next prime is 4022020001. The reversal of 4022020000 is 202204.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 96746896 + 3925273104 = 9836^2 + 62652^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4022020001) 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, 80551 + ... + 120550.

Almost surely, 24022020000 is an apocalyptic number.

4022020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022020000 is an abundant number, since it is smaller than the sum of its proper divisors (5872801706).

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

4022020000 is an equidigital number, since it uses as much as digits as its factorization.

4022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201131 (or 201108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4022020000 is about 63419.3976634909. The cubic root of 4022020000 is about 1590.3086040495.

Adding to 4022020000 its reverse (202204), we get a palindrome (4022222204).

The spelling of 4022020000 in words is "four billion, twenty-two 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 201101 402202 804404 1005505 1608808 2011010 3217616 4022020 5027525 6435232 8044040 10055050 16088080 20110100 25137625 32176160 40220200 50275250 80440400 100550500 125688125 160880800 201101000 251376250 402202000 502752500 804404000 1005505000 2011010000 4022020000