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19955250 = 2325372181
BaseRepresentation
bin100110000011…
…1111000110010
31101112211110100
41030013320302
520102032000
61551413230
7331421400
oct114077062
941484410
1019955250
111029a747
126824216
134198c53
142916470
151b42a00
hex1307e32

19955250 has 144 divisors (see below), whose sum is σ = 63115416. Its totient is φ = 4536000.

The previous prime is 19955249. The next prime is 19955261. The reversal of 19955250 is 5255991.

It can be written as a sum of positive squares in 4 ways, for example, as 1058841 + 18896409 = 1029^2 + 4347^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110160 + ... + 110340.

Almost surely, 219955250 is an apocalyptic number.

19955250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19955250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557708).

19955250 is an abundant number, since it is smaller than the sum of its proper divisors (43160166).

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

19955250 is a wasteful number, since it uses less digits than its factorization.

19955250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 19955250 is about 4467.1299510984. The cubic root of 19955250 is about 271.2391601634.

The spelling of 19955250 in words is "nineteen million, nine hundred fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 125 126 147 150 175 181 210 225 245 250 294 315 350 362 375 441 450 490 525 543 630 735 750 875 882 905 1050 1086 1125 1225 1267 1470 1575 1629 1750 1810 2205 2250 2450 2534 2625 2715 3150 3258 3675 3801 4410 4525 5250 5430 6125 6335 7350 7602 7875 8145 8869 9050 11025 11403 12250 12670 13575 15750 16290 17738 18375 19005 22050 22625 22806 26607 27150 31675 36750 38010 40725 44345 45250 53214 55125 57015 63350 67875 79821 81450 88690 95025 110250 114030 133035 135750 158375 159642 190050 203625 221725 266070 285075 316750 399105 407250 443450 475125 570150 665175 798210 950250 1108625 1330350 1425375 1995525 2217250 2850750 3325875 3991050 6651750 9977625 19955250