Search a number
-
+
10222992 = 24321343127
BaseRepresentation
bin100110111111…
…110110010000
3201020101022100
4212333312100
510104113432
61003040400
7152615433
oct46776620
921211270
1010222992
11585275a
123510100
13216c210
14150181a
15d6e07c
hex9bfd90

10222992 has 120 divisors (see below), whose sum is σ = 31775744. Its totient is φ = 3048192.

The previous prime is 10222991. The next prime is 10222999. The reversal of 10222992 is 29922201.

It is not an unprimeable number, because it can be changed into a prime (10222991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80433 + ... + 80559.

Almost surely, 210222992 is an apocalyptic number.

10222992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887872).

10222992 is an abundant number, since it is smaller than the sum of its proper divisors (21552752).

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

10222992 is a wasteful number, since it uses less digits than its factorization.

10222992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10222992 is about 3197.3413955973. The cubic root of 10222992 is about 217.0331166232.

The spelling of 10222992 in words is "ten million, two hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 127 129 144 156 172 208 234 254 258 312 344 381 387 468 508 516 559 624 688 762 774 936 1016 1032 1118 1143 1524 1548 1651 1677 1872 2032 2064 2236 2286 3048 3096 3302 3354 4472 4572 4953 5031 5461 6096 6192 6604 6708 8944 9144 9906 10062 10922 13208 13416 14859 16383 18288 19812 20124 21844 26416 26832 29718 32766 39624 40248 43688 49149 59436 65532 70993 79248 80496 87376 98298 118872 131064 141986 196596 212979 237744 262128 283972 393192 425958 567944 638937 786384 851916 1135888 1277874 1703832 2555748 3407664 5111496 10222992