Search a number
-
+
22022832 = 24313291217
BaseRepresentation
bin101010000000…
…0101010110000
31112102212122110
41110000222300
521114212312
62104005320
7355122336
oct124005260
945385573
1022022832
1111482097
127460840
134741080
142cd3b56
151e0043c
hex1500ab0

22022832 has 80 divisors (see below), whose sum is σ = 63433440. Its totient is φ = 6537216.

The previous prime is 22022809. The next prime is 22022839. The reversal of 22022832 is 23822022.

It is a junction number, because it is equal to n+sod(n) for n = 22022799 and 22022808.

It is not an unprimeable number, because it can be changed into a prime (22022839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17488 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 222022832 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 22022832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31716720).

22022832 is an abundant number, since it is smaller than the sum of its proper divisors (41410608).

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

22022832 is a wasteful number, since it uses less digits than its factorization.

22022832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22022832 is about 4692.8490280426. The cubic root of 22022832 is about 280.3008331305.

Adding to 22022832 its reverse (23822022), we get a palindrome (45844854).

The spelling of 22022832 in words is "twenty-two million, twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1217 1392 1508 2262 2434 3016 3651 4524 4868 6032 7302 9048 9736 14604 15821 18096 19472 29208 31642 35293 47463 58416 63284 70586 94926 105879 126568 141172 189852 211758 253136 282344 379704 423516 458809 564688 759408 847032 917618 1376427 1694064 1835236 2752854 3670472 5505708 7340944 11011416 22022832