[go: up one dir, main page]

Search a number
-
+
23422100 = 22521343419
BaseRepresentation
bin101100101011…
…0010010010100
31122001222002012
41121112102110
521444001400
62154003352
7403041002
oct131262224
948058065
1023422100
1112248409
127a16558
134b10c40
143179a72
1520c9d35
hex1656494

23422100 has 72 divisors (see below), whose sum is σ = 56142240. Its totient is φ = 8426880.

The previous prime is 23422093. The next prime is 23422129. The reversal of 23422100 is 122432.

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 23 ways as a sum of consecutive naturals, for example, 55691 + ... + 56109.

Almost surely, 223422100 is an apocalyptic number.

23422100 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 23422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071120).

23422100 is an abundant number, since it is smaller than the sum of its proper divisors (32720140).

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

23422100 is a wasteful number, since it uses less digits than its factorization.

23422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23422100 is about 4839.6384162456. The cubic root of 23422100 is about 286.1158674408.

Adding to 23422100 its reverse (122432), we get a palindrome (23544532).

The spelling of 23422100 in words is "twenty-three million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 419 430 559 650 838 860 1075 1118 1300 1676 2095 2150 2236 2795 4190 4300 5447 5590 8380 10475 10894 11180 13975 18017 20950 21788 27235 27950 36034 41900 54470 55900 72068 90085 108940 136175 180170 234221 272350 360340 450425 468442 544700 900850 936884 1171105 1801700 2342210 4684420 5855525 11711050 23422100