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29223150 = 23521189199
BaseRepresentation
bin110111101111…
…0100011101110
32000222200121220
41233132203232
524440120100
62522204210
7503251455
oct157364356
960880556
1029223150
111554a870
129953666
136092508
143c49b9c
152873aa0
hex1bde8ee

29223150 has 96 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 6969600.

The previous prime is 29223137. The next prime is 29223151. The reversal of 29223150 is 5132292.

It is a self number, because there is not a number n which added to its sum of digits gives 29223150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29223151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146751 + ... + 146949.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 229223150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29223150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

29223150 is an abundant number, since it is smaller than the sum of its proper divisors (51128850).

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

29223150 is a wasteful number, since it uses less digits than its factorization.

29223150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

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

The square root of 29223150 is about 5405.8440599041. The cubic root of 29223150 is about 308.0177015182.

The spelling of 29223150 in words is "twenty-nine million, two hundred twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 89 110 150 165 178 199 267 275 330 398 445 534 550 597 825 890 979 995 1194 1335 1650 1958 1990 2189 2225 2670 2937 2985 4378 4450 4895 4975 5874 5970 6567 6675 9790 9950 10945 13134 13350 14685 14925 17711 21890 24475 29370 29850 32835 35422 48950 53133 54725 65670 73425 88555 106266 109450 146850 164175 177110 194821 265665 328350 389642 442775 531330 584463 885550 974105 1168926 1328325 1948210 2656650 2922315 4870525 5844630 9741050 14611575 29223150