Search a number
-
+
221001200 = 2452778929
BaseRepresentation
bin11010010110000…
…11010111110000
3120101212000122122
431023003113300
5423034014300
633532453412
75322323240
oct1513032760
9511760578
10221001200
11103827522
126201a268
1336a2b354
14214cbb20
1514606c85
hexd2c35f0

221001200 has 60 divisors (see below), whose sum is σ = 606813840. Its totient is φ = 75770880.

The previous prime is 221001167. The next prime is 221001223. The reversal of 221001200 is 2100122.

221001200 is digitally balanced in base 2, because in such base 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 (8).

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, 36665 + ... + 42264.

It is an arithmetic number, because the mean of its divisors is an integer number (10113564).

Almost surely, 2221001200 is an apocalyptic number.

221001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001200 is an abundant number, since it is smaller than the sum of its proper divisors (385812640).

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

221001200 is a wasteful number, since it uses less digits than its factorization.

221001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78954 (or 78943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 221001200 is about 14866.1091076314. The cubic root of 221001200 is about 604.5954538877.

Adding to 221001200 its reverse (2100122), we get a palindrome (223101322).

The spelling of 221001200 in words is "two hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 78929 157858 315716 394645 552503 631432 789290 1105006 1262864 1578580 1973225 2210012 2762515 3157160 3946450 4420024 5525030 6314320 7892900 8840048 11050060 13812575 15785800 22100120 27625150 31571600 44200240 55250300 110500600 221001200