Search a number
-
+
22717072 = 247435389
BaseRepresentation
bin101011010101…
…0001010010000
31120202010222001
41112222022100
521303421242
62130523344
7364043350
oct126521220
946663861
1022717072
1111906744
127736554
134925071
143034b60
151edaeb7
hex15aa290

22717072 has 80 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 9225216.

The previous prime is 22717061. The next prime is 22717081. The reversal of 22717072 is 27071722.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22717072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255204 + ... + 255292.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 222717072 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 22717072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

22717072 is an abundant number, since it is smaller than the sum of its proper divisors (30315248).

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

22717072 is a wasteful number, since it uses less digits than its factorization.

22717072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 22717072 is about 4766.2429648519. The cubic root of 22717072 is about 283.2157826862.

Adding to 22717072 its reverse (27071722), we get a palindrome (49788794).

The spelling of 22717072 in words is "twenty-two million, seven hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 53 56 86 89 106 112 172 178 212 301 344 356 371 424 602 623 688 712 742 848 1204 1246 1424 1484 2279 2408 2492 2968 3827 4558 4717 4816 4984 5936 7654 9116 9434 9968 15308 15953 18232 18868 26789 30616 31906 33019 36464 37736 53578 61232 63812 66038 75472 107156 127624 132076 202831 214312 255248 264152 405662 428624 528304 811324 1419817 1622648 2839634 3245296 5679268 11358536 22717072