Search a number
-
+
23221420 = 22519531153
BaseRepresentation
bin101100010010…
…1010010101100
31121200202210121
41120211102230
521421041140
62145414324
7401243635
oct130452254
947622717
1023221420
1112120662
12793a3a4
134a707b1
14312688c
15208a64a
hex16254ac

23221420 has 48 divisors (see below), whose sum is σ = 52345440. Its totient is φ = 8626176.

The previous prime is 23221417. The next prime is 23221447. The reversal of 23221420 is 2412232.

It is a junction number, because it is equal to n+sod(n) for n = 23221394 and 23221403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19564 + ... + 20716.

It is an arithmetic number, because the mean of its divisors is an integer number (1090530).

Almost surely, 223221420 is an apocalyptic number.

23221420 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 23221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172720).

23221420 is an abundant number, since it is smaller than the sum of its proper divisors (29124020).

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

23221420 is a wasteful number, since it uses less digits than its factorization.

23221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23221420 is about 4818.8608612410. The cubic root of 23221420 is about 285.2963778431.

Adding to 23221420 its reverse (2412232), we get a palindrome (25633652).

The spelling of 23221420 in words is "twenty-three million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 1153 2014 2306 4028 4612 5035 5765 10070 11530 20140 21907 23060 43814 61109 87628 109535 122218 219070 244436 305545 438140 611090 1161071 1222180 2322142 4644284 5805355 11610710 23221420