Search a number
-
+
21223755 = 335737607
BaseRepresentation
bin101000011110…
…1100101001011
31110221021112000
41100331211023
520413130010
62034522043
7345253560
oct120754513
943837460
1021223755
1110a867a3
127136323
134521447
142b66867
151ce37c0
hex143d94b

21223755 has 64 divisors (see below), whose sum is σ = 44359680. Its totient is φ = 9424512.

The previous prime is 21223739. The next prime is 21223757. The reversal of 21223755 is 55732212.

It is not a de Polignac number, because 21223755 - 24 = 21223739 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21223757) 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 63 ways as a sum of consecutive naturals, for example, 34662 + ... + 35268.

It is an arithmetic number, because the mean of its divisors is an integer number (693120).

Almost surely, 221223755 is an apocalyptic number.

21223755 is an abundant number, since it is smaller than the sum of its proper divisors (23135925).

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

21223755 is a wasteful number, since it uses less digits than its factorization.

21223755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 21223755 is about 4606.9246792193. The cubic root of 21223755 is about 276.8688357974.

Adding to 21223755 its reverse (55732212), we get a palindrome (76955967).

The spelling of 21223755 in words is "twenty-one million, two hundred twenty-three thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 185 189 259 315 333 555 607 777 945 999 1295 1665 1821 2331 3035 3885 4249 4995 5463 6993 9105 11655 12747 16389 21245 22459 27315 34965 38241 63735 67377 81945 112295 114723 157213 191205 202131 336885 471639 573615 606393 786065 1010655 1414917 2358195 3031965 4244751 7074585 21223755