Search a number
-
+
22203972 = 22327177173
BaseRepresentation
bin101010010110…
…0111001000100
31112210002010100
41110230321010
521141011342
62111524100
7356505420
oct124547104
945702110
1022203972
111159619a
127529630
1347a565b
142d3db80
151e38e4c
hex152ce44

22203972 has 144 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 5806080.

The previous prime is 22203971. The next prime is 22203983. The reversal of 22203972 is 27930222.

It is not an unprimeable number, because it can be changed into a prime (22203971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304128 + ... + 304200.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 222203972 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 22203972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).

22203972 is an abundant number, since it is smaller than the sum of its proper divisors (47614140).

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

22203972 is a wasteful number, since it uses less digits than its factorization.

22203972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22203972 is about 4712.1090819292. The cubic root of 22203972 is about 281.0672365206.

It can be divided in two parts, 222039 and 72, that added together give a triangular number (222111 = T666).

The spelling of 22203972 in words is "twenty-two million, two hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 71 73 84 102 119 126 142 146 153 204 213 219 238 252 284 292 306 357 426 438 476 497 511 612 639 657 714 852 876 994 1022 1071 1207 1241 1278 1314 1428 1491 1533 1988 2044 2142 2414 2482 2556 2628 2982 3066 3621 3723 4284 4473 4599 4828 4964 5183 5964 6132 7242 7446 8449 8687 8946 9198 10366 10863 11169 14484 14892 15549 16898 17374 17892 18396 20732 21726 22338 25347 26061 31098 33796 34748 36281 43452 44676 46647 50694 52122 62196 72562 76041 78183 88111 93294 101388 104244 108843 145124 152082 156366 176222 186588 217686 264333 304164 312732 326529 352444 435372 528666 616777 653058 792999 1057332 1233554 1306116 1585998 1850331 2467108 3171996 3700662 5550993 7401324 11101986 22203972