Search a number
-
+
20213622 = 23211137853
BaseRepresentation
bin100110100011…
…0111101110110
31102000221212200
41031012331312
520133313442
62001125330
7333545562
oct115067566
942027780
1020213622
1110456880
126929846
134259730
1429826a2
151b9434c
hex1346f76

20213622 has 48 divisors (see below), whose sum is σ = 51459408. Its totient is φ = 5653440.

The previous prime is 20213603. The next prime is 20213623. The reversal of 20213622 is 22631202.

20213622 is a `hidden beast` number, since 20 + 21 + 3 + 622 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20213595 and 20213604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353 + ... + 6500.

It is an arithmetic number, because the mean of its divisors is an integer number (1072071).

Almost surely, 220213622 is an apocalyptic number.

20213622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20213622 is an abundant number, since it is smaller than the sum of its proper divisors (31245786).

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

20213622 is a wasteful number, since it uses less digits than its factorization.

20213622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20213622 is about 4495.9561830605. The cubic root of 20213622 is about 272.4047732802.

Adding to 20213622 its reverse (22631202), we get a palindrome (42844824).

It can be divided in two parts, 202 and 13622, that added together give a cube (13824 = 243).

The spelling of 20213622 in words is "twenty million, two hundred thirteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 7853 15706 23559 47118 70677 86383 102089 141354 172766 204178 259149 306267 518298 612534 777447 918801 1122979 1554894 1837602 2245958 3368937 6737874 10106811 20213622