Search a number
-
+
22134735 = 335759397
BaseRepresentation
bin101010001101…
…1111111001111
31112122120011000
41110123333033
521131302420
62110231343
7356066520
oct124337717
945576130
1022134735
1111549177
1274b5553
13477cc9c
142d22847
151e23690
hex151bfcf

22134735 has 64 divisors (see below), whose sum is σ = 45849600. Its totient is φ = 9922176.

The previous prime is 22134733. The next prime is 22134781. The reversal of 22134735 is 53743122.

It is not a de Polignac number, because 22134735 - 21 = 22134733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22134699 and 22134708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55557 + ... + 55953.

It is an arithmetic number, because the mean of its divisors is an integer number (716400).

Almost surely, 222134735 is an apocalyptic number.

22134735 is an abundant number, since it is smaller than the sum of its proper divisors (23714865).

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

22134735 is a wasteful number, since it uses less digits than its factorization.

22134735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 22134735 is about 4704.7566355764. The cubic root of 22134735 is about 280.7747886270.

Adding to 22134735 its reverse (53743122), we get a palindrome (75877857).

The spelling of 22134735 in words is "twenty-two million, one hundred thirty-four thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 105 135 177 189 295 315 397 413 531 885 945 1191 1239 1593 1985 2065 2655 2779 3573 3717 5955 6195 7965 8337 10719 11151 13895 17865 18585 23423 25011 41685 53595 55755 70269 75033 117115 125055 163961 210807 351345 375165 491883 632421 819805 1054035 1475649 2459415 3162105 4426947 7378245 22134735