Search a number
-
+
22134525 = 3527219317
BaseRepresentation
bin101010001101…
…1111011111101
31112122112212020
41110123323331
521131301100
62110230353
7356066100
oct124337375
945575766
1022134525
1111548aa6
1274b53b9
13477cb6a
142d22737
151e235a0
hex151befd

22134525 has 72 divisors (see below), whose sum is σ = 44952480. Its totient is φ = 9555840.

The previous prime is 22134491. The next prime is 22134529. The reversal of 22134525 is 52543122.

It is not a de Polignac number, because 22134525 - 26 = 22134461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22134495 and 22134504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134529) 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 71 ways as a sum of consecutive naturals, for example, 69667 + ... + 69983.

It is an arithmetic number, because the mean of its divisors is an integer number (624340).

Almost surely, 222134525 is an apocalyptic number.

22134525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22134525 is an abundant number, since it is smaller than the sum of its proper divisors (22817955).

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

22134525 is a wasteful number, since it uses less digits than its factorization.

22134525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 22134525 is about 4704.7343176847. The cubic root of 22134525 is about 280.7739006879.

Adding to 22134525 its reverse (52543122), we get a palindrome (74677647).

The spelling of 22134525 in words is "twenty-two million, one hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 49 57 75 95 105 133 147 175 245 285 317 399 475 525 665 735 931 951 1225 1425 1585 1995 2219 2793 3325 3675 4655 4755 6023 6657 7925 9975 11095 13965 15533 18069 23275 23775 30115 33285 42161 46599 55475 69825 77665 90345 126483 150575 166425 210805 232995 295127 388325 451725 632415 885381 1054025 1164975 1475635 3162075 4426905 7378175 22134525