Search a number
-
+
22203720 = 2334571189
BaseRepresentation
bin101010010110…
…0110101001000
31112210001210000
41110230311020
521141004340
62111523000
7356504610
oct124546510
945701700
1022203720
1111595a90
127529460
1347a54c6
142d3da40
151e38d30
hex152cd48

22203720 has 320 divisors, whose sum is σ = 94089600. Its totient is φ = 4561920.

The previous prime is 22203707. The next prime is 22203743. The reversal of 22203720 is 2730222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22203693 and 22203702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249436 + ... + 249524.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 222203720 is an apocalyptic number.

22203720 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 22203720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044800).

22203720 is an abundant number, since it is smaller than the sum of its proper divisors (71885880).

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

22203720 is a wasteful number, since it uses less digits than its factorization.

22203720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22203720 is about 4712.0823422347. The cubic root of 22203720 is about 281.0661732091.

Adding to 22203720 its reverse (2730222), we get a palindrome (24933942).

The spelling of 22203720 in words is "twenty-two million, two hundred three thousand, seven hundred twenty".