Search a number
-
+
192206200050 = 23452834
BaseRepresentation
bin1011001100000001100…
…0011101110011110010
3200101010011212121220000
42303000120131303302
511122114241400200
6224144233530430
716613022513114
oct2630030356362
9611104777800
10192206200050
1174572430a17
1231301573a16
1315181724427
149434d713b4
154eee10a300
hex2cc061dcf2

192206200050 has 150 divisors (see below), whose sum is σ = 540561272493. Its totient is φ = 50637456720.

The previous prime is 192206200027. The next prime is 192206200057. The reversal of 192206200050 is 50002602291.

192206200050 is a `hidden beast` number, since 19 + 2 + 20 + 620 + 0 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188362076049 + 3844124001 = 434007^2 + 62001^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=310005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 192206199987 and 192206200023.

It is not an unprimeable number, because it can be changed into a prime (192206200057) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2315737309 + ... + 2315737391.

Almost surely, 2192206200050 is an apocalyptic number.

192206200050 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 192206200050

192206200050 is an abundant number, since it is smaller than the sum of its proper divisors (348355072443).

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

192206200050 is an frugal number, since it uses more digits than its factorization.

192206200050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 192206200050 in words is "one hundred ninety-two billion, two hundred six million, two hundred thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 83 90 135 150 162 166 225 249 270 405 415 450 498 675 747 810 830 1245 1350 1494 2025 2075 2241 2490 3735 4050 4150 4482 6225 6723 6889 7470 11205 12450 13446 13778 18675 20667 22410 33615 34445 37350 41334 56025 62001 67230 68890 103335 112050 124002 168075 172225 186003 206670 310005 336150 344450 372006 516675 558009 571787 620010 930015 1033350 1116018 1143574 1550025 1715361 1860030 2790045 2858935 3100050 3430722 4650075 5146083 5580090 5717870 8576805 9300150 10292166 13950225 14294675 15438249 17153610 25730415 27900450 28589350 30876498 42884025 46314747 47458321 51460830 77191245 85768050 92629494 94916642 128652075 142374963 154382490 231573735 237291605 257304150 284749926 385956225 427124889 463147470 474583210 711874815 771912450 854249778 1157868675 1186458025 1281374667 1423749630 2135624445 2315737350 2372916050 2562749334 3559374075 3844124001 4271248890 6406873335 7118748150 7688248002 10678122225 12813746670 19220620005 21356244450 32034366675 38441240010 64068733350 96103100025 192206200050