Search a number
-
+
181900000 = 255517107
BaseRepresentation
bin10101101011110…
…01001011100000
3110200021110220001
422311321023200
5333031300000
630014425344
74336060462
oct1265711340
9420243801
10181900000
1193750187
1250b02254
132b8ba949
141a230132
1510e8146a
hexad792e0

181900000 has 144 divisors (see below), whose sum is σ = 478375632. Its totient is φ = 67840000.

The previous prime is 181899973. The next prime is 181900003. The reversal of 181900000 is 9181.

181900000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1819000002 = 66175220000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181900003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699947 + ... + 1700053.

It is an arithmetic number, because the mean of its divisors is an integer number (3322053).

Almost surely, 2181900000 is an apocalyptic number.

181900000 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 181900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239187816).

181900000 is an abundant number, since it is smaller than the sum of its proper divisors (296475632).

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

181900000 is an equidigital number, since it uses as much as digits as its factorization.

181900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 181900000 is about 13487.0308074090. The cubic root of 181900000 is about 566.6012996495.

Adding to 181900000 its reverse (9181), we get a palindrome (181909181).

The spelling of 181900000 in words is "one hundred eighty-one million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 107 125 136 160 170 200 214 250 272 340 400 425 428 500 535 544 625 680 800 850 856 1000 1070 1250 1360 1700 1712 1819 2000 2125 2140 2500 2675 2720 3125 3400 3424 3638 4000 4250 4280 5000 5350 6250 6800 7276 8500 8560 9095 10000 10625 10700 12500 13375 13600 14552 17000 17120 18190 20000 21250 21400 25000 26750 29104 34000 36380 42500 42800 45475 50000 53125 53500 58208 66875 68000 72760 85000 85600 90950 100000 106250 107000 133750 145520 170000 181900 212500 214000 227375 267500 291040 334375 340000 363800 425000 428000 454750 535000 668750 727600 850000 909500 1070000 1136875 1337500 1455200 1700000 1819000 2140000 2273750 2675000 3638000 4547500 5350000 5684375 7276000 9095000 10700000 11368750 18190000 22737500 36380000 45475000 90950000 181900000