Search a number
-
+
22821204 = 22371979181
BaseRepresentation
bin101011100001…
…1100101010100
31120221102210210
41113003211110
521320234304
62133045420
7364656060
oct127034524
946842723
1022821204
11119779aa
127786870
134960593
143060aa0
15200bc89
hex15c3954

22821204 has 96 divisors (see below), whose sum is σ = 65228800. Its totient is φ = 6065280.

The previous prime is 22821203. The next prime is 22821229. The reversal of 22821204 is 40212822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22821203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125994 + ... + 126174.

Almost surely, 222821204 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 22821204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32614400).

22821204 is an abundant number, since it is smaller than the sum of its proper divisors (42407596).

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

22821204 is a wasteful number, since it uses less digits than its factorization.

22821204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22821204 is about 4777.1543831030. The cubic root of 22821204 is about 283.6478641637.

It can be divided in two parts, 2282 and 1204, that added together give a triangular number (3486 = T83).

The spelling of 22821204 in words is "twenty-two million, eight hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 181 228 237 266 316 362 399 474 532 543 553 724 798 948 1086 1106 1267 1501 1596 1659 2172 2212 2534 3002 3318 3439 3801 4503 5068 6004 6636 6878 7602 9006 10317 10507 13756 14299 15204 18012 20634 21014 24073 28598 31521 41268 42028 42897 48146 57196 63042 72219 85794 96292 100093 126084 144438 171588 200186 271681 288876 300279 400372 543362 600558 815043 1086724 1201116 1630086 1901767 3260172 3803534 5705301 7607068 11410602 22821204