Search a number
-
+
22722132 = 22317313593
BaseRepresentation
bin101011010101…
…1011001010100
31120202101220110
41112223121110
521304102012
62131003020
7364064166
oct126533124
946671813
1022722132
111190a524
127739470
134927464
143036936
151edc73c
hex15ab654

22722132 has 48 divisors (see below), whose sum is σ = 57964032. Its totient is φ = 6896640.

The previous prime is 22722131. The next prime is 22722169. The reversal of 22722132 is 23122722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22722099 and 22722108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22722131) 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 15 ways as a sum of consecutive naturals, for example, 4528 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (1207584).

Almost surely, 222722132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22722132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28982016).

22722132 is an abundant number, since it is smaller than the sum of its proper divisors (35241900).

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

22722132 is a wasteful number, since it uses less digits than its factorization.

22722132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3646 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 22722132 is about 4766.7737517109. The cubic root of 22722132 is about 283.2368089504.

Adding to 22722132 its reverse (23122722), we get a palindrome (45844854).

The spelling of 22722132 in words is "twenty-two million, seven hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 3593 6324 7186 10779 14372 21558 43116 61081 111383 122162 183243 222766 244324 334149 366486 445532 668298 732972 1336596 1893511 3787022 5680533 7574044 11361066 22722132