Search a number
-
+
22080000 = 2935423
BaseRepresentation
bin101010000111…
…0101000000000
31112112210001210
41110032220000
521123030000
62105130120
7355451115
oct124165000
945483053
1022080000
1111511038
127489940
1347610b7
142d0a90c
151e12350
hex150ea00

22080000 has 200 divisors, whose sum is σ = 76700448. Its totient is φ = 5632000.

The previous prime is 22079929. The next prime is 22080053. The reversal of 22080000 is 8022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959989 + ... + 960011.

Almost surely, 222080000 is an apocalyptic number.

22080000 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 22080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350224).

22080000 is an abundant number, since it is smaller than the sum of its proper divisors (54620448).

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

22080000 is an frugal number, since it uses more digits than its factorization.

22080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22080000 is about 4698.9360497883. The cubic root of 22080000 is about 280.5431633400.

Adding to 22080000 its reverse (8022), we get a palindrome (22088022).

The spelling of 22080000 in words is "twenty-two million, eighty thousand".