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22132992 = 283723179
BaseRepresentation
bin101010001101…
…1100100000000
31112122110202110
41110123210000
521131223432
62110215320
7356061450
oct124334400
945573673
1022132992
1111547932
1274b4540
13477c25b
142d21d60
151e22dcc
hex151b900

22132992 has 144 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 6014976.

The previous prime is 22132987. The next prime is 22133017. The reversal of 22132992 is 29923122.

It is a happy number.

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, 123559 + ... + 123737.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 222132992 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 22132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

22132992 is an abundant number, since it is smaller than the sum of its proper divisors (48507648).

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

22132992 is a wasteful number, since it uses less digits than its factorization.

22132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 22132992 is about 4704.5713938679. The cubic root of 22132992 is about 280.7674185620.

The spelling of 22132992 in words is "twenty-two million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 179 184 192 224 256 276 322 336 358 368 384 448 483 537 552 644 672 716 736 768 896 966 1074 1104 1253 1288 1344 1432 1472 1792 1932 2148 2208 2506 2576 2688 2864 2944 3759 3864 4117 4296 4416 5012 5152 5376 5728 5888 7518 7728 8234 8592 8832 10024 10304 11456 12351 15036 15456 16468 17184 17664 20048 20608 22912 24702 28819 30072 30912 32936 34368 40096 41216 45824 49404 57638 60144 61824 65872 68736 80192 86457 98808 115276 120288 123648 131744 137472 160384 172914 197616 230552 240576 263488 320768 345828 395232 461104 481152 526976 691656 790464 922208 962304 1053952 1383312 1580928 1844416 2766624 3161856 3688832 5533248 7377664 11066496 22132992