Search a number
-
+
22916200 = 2352149769
BaseRepresentation
bin101011101101…
…0110001101000
31121010021010011
41113122301220
521331304300
62135101304
7365533036
oct127326150
947107104
1022916200
1111a3230a
127811834
1349948a8
143087556
152029eba
hex15dac68

22916200 has 48 divisors (see below), whose sum is σ = 53707500. Its totient is φ = 9093120.

The previous prime is 22916197. The next prime is 22916203. The reversal of 22916200 is 261922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22916197) and next prime (22916203).

It can be written as a sum of positive squares in 6 ways, for example, as 3006756 + 19909444 = 1734^2 + 4462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22916203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29416 + ... + 30184.

Almost surely, 222916200 is an apocalyptic number.

22916200 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 22916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853750).

22916200 is an abundant number, since it is smaller than the sum of its proper divisors (30791300).

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

22916200 is a wasteful number, since it uses less digits than its factorization.

22916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 22916200 is about 4787.0867967899. The cubic root of 22916200 is about 284.0408920818.

The spelling of 22916200 in words is "twenty-two million, nine hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 769 1192 1490 1538 2980 3076 3725 3845 5960 6152 7450 7690 14900 15380 19225 29800 30760 38450 76900 114581 153800 229162 458324 572905 916648 1145810 2291620 2864525 4583240 5729050 11458100 22916200