Search a number
-
+
22226535 = 3353147113
BaseRepresentation
bin101010011001…
…0011001100111
31112211020002000
41110302121213
521142222120
62112220343
7356631252
oct124623147
945736060
1022226535
1111601141
12753a6b3
1347b29c6
142d48099
151e40990
hex1532667

22226535 has 64 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 11128320.

The previous prime is 22226507. The next prime is 22226543. The reversal of 22226535 is 53562222.

22226535 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 653 + 5 = 666.

It is not a de Polignac number, because 22226535 - 28 = 22226279 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 = 22226499 and 22226508.

It is a congruent number.

It is an unprimeable number.

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, 196639 + ... + 196751.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 222226535 is an apocalyptic number.

22226535 is a deficient number, since it is larger than the sum of its proper divisors (19798425).

22226535 is a wasteful number, since it uses less digits than its factorization.

22226535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 22226535 is about 4714.5026248800. The cubic root of 22226535 is about 281.1624082791.

Adding to 22226535 its reverse (53562222), we get a palindrome (75788757).

The spelling of 22226535 in words is "twenty-two million, two hundred twenty-six thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 47 93 113 135 141 155 235 279 339 423 465 565 705 837 1017 1269 1395 1457 1695 2115 3051 3503 4185 4371 5085 5311 6345 7285 10509 13113 15255 15933 17515 21855 26555 31527 39339 47799 52545 65565 79665 94581 143397 157635 164641 196695 238995 472905 493923 716985 823205 1481769 2469615 4445307 7408845 22226535