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22134700 = 22527103307
BaseRepresentation
bin101010001101…
…1111110101100
31112122120002201
41110123332230
521131302300
62110231244
7356066440
oct124337654
945576081
1022134700
1111549145
1274b5524
13477cc73
142d22820
151e2366a
hex151bfac

22134700 has 72 divisors (see below), whose sum is σ = 55607552. Its totient is φ = 7490880.

The previous prime is 22134691. The next prime is 22134701. The reversal of 22134700 is 743122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71947 + ... + 72253.

Almost surely, 222134700 is an apocalyptic number.

22134700 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 22134700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27803776).

22134700 is an abundant number, since it is smaller than the sum of its proper divisors (33472852).

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

22134700 is a wasteful number, since it uses less digits than its factorization.

22134700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 22134700 is about 4704.7529159351. The cubic root of 22134700 is about 280.7746406375.

Adding to 22134700 its reverse (743122), we get a palindrome (22877822).

The spelling of 22134700 in words is "twenty-two million, one hundred thirty-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 307 350 412 515 614 700 721 1030 1228 1442 1535 2060 2149 2575 2884 3070 3605 4298 5150 6140 7210 7675 8596 10300 10745 14420 15350 18025 21490 30700 31621 36050 42980 53725 63242 72100 107450 126484 158105 214900 221347 316210 442694 632420 790525 885388 1106735 1581050 2213470 3162100 4426940 5533675 11067350 22134700