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1822420008 = 233225311389
BaseRepresentation
bin110110010011111…
…1110110000101000
311201000012112021100
41230213332300220
512213014420013
6500500441400
763106212603
oct15447766050
94630175240
101822420008
11855788142
1242a3a9260
1323073cb46
1413407133a
15a9ed6473
hex6c9fec28

1822420008 has 24 divisors (see below), whose sum is σ = 4935721050. Its totient is φ = 607473312.

The previous prime is 1822420007. The next prime is 1822420013. The reversal of 1822420008 is 8000242281.

It can be written as a sum of positive squares in only one way, i.e., 1790813124 + 31606884 = 42318^2 + 5622^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1822420007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12655623 + ... + 12655766.

Almost surely, 21822420008 is an apocalyptic number.

1822420008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1822420008 is an abundant number, since it is smaller than the sum of its proper divisors (3113301042).

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

1822420008 is a wasteful number, since it uses less digits than its factorization.

1822420008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25311401 (or 25311394 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1822420008 is about 42689.8115245312. The cubic root of 1822420008 is about 1221.4700562849.

Adding to 1822420008 its reverse (8000242281), we get a palindrome (9822662289).

The spelling of 1822420008 in words is "one billion, eight hundred twenty-two million, four hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 25311389 50622778 75934167 101245556 151868334 202491112 227802501 303736668 455605002 607473336 911210004 1822420008