Search a number
-
+
22083840 = 2835571
BaseRepresentation
bin101010000111…
…1100100000000
31112112222100000
41110033210000
521123140330
62105200000
7355465242
oct124174400
945488300
1022083840
1111513a09
127490000
134762a7c
142d0c092
151e13560
hex150f900

22083840 has 216 divisors, whose sum is σ = 80353728. Its totient is φ = 5806080.

The previous prime is 22083829. The next prime is 22083851. The reversal of 22083840 is 4838022.

It is an interprime number because it is at equal distance from previous prime (22083829) and next prime (22083851).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311005 + ... + 311075.

It is an arithmetic number, because the mean of its divisors is an integer number (372008).

Almost surely, 222083840 is an apocalyptic number.

22083840 is a gapful number since it is divisible by the number (20) 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 22083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864).

22083840 is an abundant number, since it is smaller than the sum of its proper divisors (58269888).

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

22083840 is an frugal number, since it uses more digits than its factorization.

22083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22083840 is about 4699.3446351592. The cubic root of 22083840 is about 280.5594257691.

The spelling of 22083840 in words is "twenty-two million, eighty-three thousand, eight hundred forty".