Search a number
-
+
22134150 = 23252101487
BaseRepresentation
bin101010001101…
…1110110000110
31112122112100100
41110123312012
521131243100
62110224530
7356065023
oct124336606
945575310
1022134150
1111548795
1274b5146
13477c93c
142d2254a
151e23400
hex151bd86

22134150 has 72 divisors (see below), whose sum is σ = 60179184. Its totient is φ = 5832000.

The previous prime is 22134149. The next prime is 22134157. The reversal of 22134150 is 5143122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134157) 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 35 ways as a sum of consecutive naturals, for example, 45207 + ... + 45693.

It is an arithmetic number, because the mean of its divisors is an integer number (835822).

Almost surely, 222134150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30089592).

22134150 is an abundant number, since it is smaller than the sum of its proper divisors (38045034).

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

22134150 is a wasteful number, since it uses less digits than its factorization.

22134150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22134150 is about 4704.6944640433. The cubic root of 22134150 is about 280.7723150683.

Adding to 22134150 its reverse (5143122), we get a palindrome (27277272).

The spelling of 22134150 in words is "twenty-two million, one hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 487 505 606 909 974 1010 1461 1515 1818 2435 2525 2922 3030 4383 4545 4870 5050 7305 7575 8766 9090 12175 14610 15150 21915 22725 24350 36525 43830 45450 49187 73050 98374 109575 147561 219150 245935 295122 442683 491870 737805 885366 1229675 1475610 2213415 2459350 3689025 4426830 7378050 11067075 22134150