Search a number
-
+
21992985 = 335717372
BaseRepresentation
bin101001111100…
…1011000011001
31112101100201000
41103321120121
521112233420
62103215213
7354636330
oct123713031
945340630
1021992985
1111461723
127447509
134730601
142cc6d17
151de6690
hex14f9619

21992985 has 96 divisors (see below), whose sum is σ = 48625920. Its totient is φ = 9206784.

The previous prime is 21992947. The next prime is 21992989. The reversal of 21992985 is 58929912.

It is not a de Polignac number, because 21992985 - 210 = 21991961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21992985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21992989) 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 95 ways as a sum of consecutive naturals, for example, 594387 + ... + 594423.

It is an arithmetic number, because the mean of its divisors is an integer number (506520).

Almost surely, 221992985 is an apocalyptic number.

It is an amenable number.

21992985 is an abundant number, since it is smaller than the sum of its proper divisors (26632935).

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

21992985 is a wasteful number, since it uses less digits than its factorization.

21992985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 21992985 is about 4689.6678986896. The cubic root of 21992985 is about 280.1741476178.

It can be divided in two parts, 2199 and 2985, that added together give a square (5184 = 722).

The spelling of 21992985 in words is "twenty-one million, nine hundred ninety-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 37 45 51 63 85 105 111 119 135 153 185 189 255 259 315 333 357 459 555 595 629 765 777 945 999 1071 1295 1369 1665 1785 1887 2295 2331 3145 3213 3885 4107 4403 4995 5355 5661 6845 6993 9435 9583 11655 12321 13209 16065 16983 20535 22015 23273 28305 28749 34965 36963 39627 47915 61605 66045 69819 84915 86247 116365 118881 143745 162911 184815 198135 209457 258741 349095 431235 488733 594405 628371 814555 1047285 1293705 1466199 2443665 3141855 4398597 7330995 21992985