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22132950 = 23527107197
BaseRepresentation
bin101010001101…
…1100011010110
31112122110200220
41110123203112
521131223300
62110215210
7356061360
oct124334326
945573626
1022132950
11115478a4
1274b4506
13477c228
142d21d30
151e22da0
hex151b8d6

22132950 has 96 divisors (see below), whose sum is σ = 63638784. Its totient is φ = 4986240.

The previous prime is 22132931. The next prime is 22132961. The reversal of 22132950 is 5923122.

It is a self number, because there is not a number n which added to its sum of digits gives 22132950.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 112252 + ... + 112448.

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

Almost surely, 222132950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819392).

22132950 is an abundant number, since it is smaller than the sum of its proper divisors (41505834).

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

22132950 is a wasteful number, since it uses less digits than its factorization.

22132950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22132950 is about 4704.5669301223. The cubic root of 22132950 is about 280.7672409653.

The spelling of 22132950 in words is "twenty-two million, one hundred thirty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 107 150 175 197 210 214 321 350 394 525 535 591 642 749 985 1050 1070 1182 1379 1498 1605 1970 2247 2675 2758 2955 3210 3745 4137 4494 4925 5350 5910 6895 7490 8025 8274 9850 11235 13790 14775 16050 18725 20685 21079 22470 29550 34475 37450 41370 42158 56175 63237 68950 103425 105395 112350 126474 147553 206850 210790 295106 316185 442659 526975 632370 737765 885318 1053950 1475530 1580925 2213295 3161850 3688825 4426590 7377650 11066475 22132950