Search a number
-
+
1919223000 = 233253213247
BaseRepresentation
bin111001001100101…
…0000010011011000
311221202100122000100
41302121100103120
512412310114000
6514235335400
765363061222
oct16231202330
94852318010
101919223000
118a5395712
124568b1560
13247804416
14142c6d412
15b3758a00
hex726504d8

1919223000 has 96 divisors (see below), whose sum is σ = 6487004160. Its totient is φ = 511790400.

The previous prime is 1919222993. The next prime is 1919223037. The reversal of 1919223000 is 3229191.

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 23 ways as a sum of consecutive naturals, for example, 97624 + ... + 115623.

It is an arithmetic number, because the mean of its divisors is an integer number (67572960).

Almost surely, 21919223000 is an apocalyptic number.

1919223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1919223000 is an abundant number, since it is smaller than the sum of its proper divisors (4567781160).

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

1919223000 is a wasteful number, since it uses less digits than its factorization.

1919223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213274 (or 213257 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1919223000 is about 43808.9374443161. The cubic root of 1919223000 is about 1242.7253186724.

The spelling of 1919223000 in words is "one billion, nine hundred nineteen million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 213247 426494 639741 852988 1066235 1279482 1705976 1919223 2132470 2558964 3198705 3838446 4264940 5117928 5331175 6397410 7676892 8529880 9596115 10662350 12794820 15353784 15993525 19192230 21324700 25589640 26655875 31987050 38384460 42649400 47980575 53311750 63974100 76768920 79967625 95961150 106623500 127948200 159935250 191922300 213247000 239902875 319870500 383844600 479805750 639741000 959611500 1919223000