Search a number
-
+
110066200 = 23521314201
BaseRepresentation
bin1101000111101…
…11101000011000
321200002221102221
412203313220120
5211134104300
614531033424
72504355466
oct643675030
9250087387
10110066200
1157147402
1230a3b874
1319a5953a
1410891836
1599e231a
hex68f7a18

110066200 has 48 divisors (see below), whose sum is σ = 257918760. Its totient is φ = 43680000.

The previous prime is 110066189. The next prime is 110066219. The reversal of 110066200 is 2660011.

It is a super-2 number, since 2×1100662002 = 24229136764880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24100 + ... + 28300.

Almost surely, 2110066200 is an apocalyptic number.

110066200 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 110066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128959380).

110066200 is an abundant number, since it is smaller than the sum of its proper divisors (147852560).

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

110066200 is a wasteful number, since it uses less digits than its factorization.

110066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 110066200 is about 10491.2439681860. The cubic root of 110066200 is about 479.2380852169.

The spelling of 110066200 in words is "one hundred ten million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3275 4201 5240 6550 8402 13100 16804 21005 26200 33608 42010 84020 105025 168040 210050 420100 550331 840200 1100662 2201324 2751655 4402648 5503310 11006620 13758275 22013240 27516550 55033100 110066200