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22134000 = 2435371731
BaseRepresentation
bin101010001101…
…1110011110000
31112122112010210
41110123303300
521131242000
62110224120
7356064420
oct124336360
945575123
1022134000
1111548669
1274b5040
13477c855
142d22480
151e23350
hex151bcf0

22134000 has 320 divisors, whose sum is σ = 89137152. Its totient is φ = 4608000.

The previous prime is 22133999. The next prime is 22134001. The reversal of 22134000 is 43122.

It is an interprime number because it is at equal distance from previous prime (22133999) and next prime (22134001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134001) 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 63 ways as a sum of consecutive naturals, for example, 713985 + ... + 714015.

Almost surely, 222134000 is an apocalyptic number.

22134000 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 22134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44568576).

22134000 is an abundant number, since it is smaller than the sum of its proper divisors (67003152).

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

22134000 is a wasteful number, since it uses less digits than its factorization.

22134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22134000 is about 4704.6785224923. The cubic root of 22134000 is about 280.7716808155.

Adding to 22134000 its reverse (43122), we get a palindrome (22177122).

The spelling of 22134000 in words is "twenty-two million, one hundred thirty-four thousand".