Search a number
-
+
22043136 = 293113127
BaseRepresentation
bin101010000010…
…1101000000000
31112110220111110
41110011220000
521120340021
62104243320
7355235463
oct124055000
945426443
1022043136
1111496375
127470540
13474a39b
142cdb2da
151e06476
hex1505a00

22043136 has 80 divisors (see below), whose sum is σ = 59710464. Its totient is φ = 7225344.

The previous prime is 22043129. The next prime is 22043137. The reversal of 22043136 is 63134022.

It is a happy number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22043137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173505 + ... + 173631.

Almost surely, 222043136 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 22043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855232).

22043136 is an abundant number, since it is smaller than the sum of its proper divisors (37667328).

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

22043136 is a wasteful number, since it uses less digits than its factorization.

22043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 22043136 is about 4695.0118210714. The cubic root of 22043136 is about 280.3869480013.

Adding to 22043136 its reverse (63134022), we get a palindrome (85177158).

The spelling of 22043136 in words is "twenty-two million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 127 128 192 226 254 256 339 381 384 452 508 512 678 762 768 904 1016 1356 1524 1536 1808 2032 2712 3048 3616 4064 5424 6096 7232 8128 10848 12192 14351 14464 16256 21696 24384 28702 28928 32512 43053 43392 48768 57404 57856 65024 86106 86784 97536 114808 172212 173568 195072 229616 344424 459232 688848 918464 1377696 1836928 2755392 3673856 5510784 7347712 11021568 22043136