Search a number
-
+
199273140 = 2232511195297
BaseRepresentation
bin10111110000010…
…10101010110100
3111212222010100200
423320022222310
5402003220030
631435040500
74636536153
oct1370125264
9455863320
10199273140
11a2536950
12568a0130
1332391501
141c67359a
1512763d60
hexbe0aab4

199273140 has 144 divisors (see below), whose sum is σ = 694249920. Its totient is φ = 45757440.

The previous prime is 199273097. The next prime is 199273141. The reversal of 199273140 is 41372991.

199273140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199273095 and 199273104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199273141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34972 + ... + 40268.

It is an arithmetic number, because the mean of its divisors is an integer number (4821180).

Almost surely, 2199273140 is an apocalyptic number.

199273140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199273140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347124960).

199273140 is an abundant number, since it is smaller than the sum of its proper divisors (494976780).

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

199273140 is a wasteful number, since it uses less digits than its factorization.

199273140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 199273140 is about 14116.4138505500. The cubic root of 199273140 is about 584.0942371539.

The spelling of 199273140 in words is "one hundred ninety-nine million, two hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 5297 6270 7524 9405 10594 12540 15891 18810 21188 26485 31782 37620 47673 52970 58267 63564 79455 95346 100643 105940 116534 158910 174801 190692 201286 233068 238365 291335 301929 317820 349602 402572 476730 503215 524403 582670 603858 699204 874005 905787 953460 1006430 1048806 1107073 1165340 1207716 1509645 1748010 1811574 2012860 2097612 2214146 2622015 3019290 3321219 3496020 3623148 4428292 4528935 5244030 5535365 6038580 6642438 9057870 9963657 10488060 11070730 13284876 16606095 18115740 19927314 22141460 33212190 39854628 49818285 66424380 99636570 199273140