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22129404 = 223112337197
BaseRepresentation
bin101010001101…
…0101011111100
31112122021211120
41110122223330
521131120104
62110150540
7356045133
oct124325374
945567746
1022129404
1111545170
1274b2450
13477a72b
142d2091a
151e21cd9
hex151aafc

22129404 has 96 divisors (see below), whose sum is σ = 60673536. Its totient is φ = 6209280.

The previous prime is 22129361. The next prime is 22129409. The reversal of 22129404 is 40492122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22129409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112234 + ... + 112430.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 222129404 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 22129404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768).

22129404 is an abundant number, since it is smaller than the sum of its proper divisors (38544132).

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

22129404 is a wasteful number, since it uses less digits than its factorization.

22129404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22129404 is about 4704.1900471813. The cubic root of 22129404 is about 280.7522459193.

The spelling of 22129404 in words is "twenty-two million, one hundred twenty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 37 44 46 66 69 74 92 111 132 138 148 197 222 253 276 394 407 444 506 591 759 788 814 851 1012 1182 1221 1518 1628 1702 2167 2364 2442 2553 3036 3404 4334 4531 4884 5106 6501 7289 8668 9062 9361 10212 13002 13593 14578 18124 18722 21867 26004 27186 28083 29156 37444 43734 49841 54372 56166 80179 87468 99682 112332 149523 160358 167647 199364 240537 299046 320716 335294 481074 502941 598092 670588 962148 1005882 1844117 2011764 3688234 5532351 7376468 11064702 22129404