Search a number
-
+
221121400 = 23521105607
BaseRepresentation
bin11010010111000…
…00101101111000
3120102002010112111
431023200231320
5423101341100
633535222104
75323333543
oct1513405570
9512063474
10221121400
111038a9865
1262077934
1336a70c86
142151d85a
151462c6ba
hexd2e0b78

221121400 has 24 divisors (see below), whose sum is σ = 514107720. Its totient is φ = 88448480.

The previous prime is 221121391. The next prime is 221121403. The reversal of 221121400 is 4121122.

It is a happy number.

221121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552604 + ... + 553003.

It is an arithmetic number, because the mean of its divisors is an integer number (21421155).

Almost surely, 2221121400 is an apocalyptic number.

221121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121400 is an abundant number, since it is smaller than the sum of its proper divisors (292986320).

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

221121400 is a wasteful number, since it uses less digits than its factorization.

221121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105623 (or 1105614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 221121400 is about 14870.1513105953. The cubic root of 221121400 is about 604.7050448497.

Adding to 221121400 its reverse (4121122), we get a palindrome (225242522).

The spelling of 221121400 in words is "two hundred twenty-one million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1105607 2211214 4422428 5528035 8844856 11056070 22112140 27640175 44224280 55280350 110560700 221121400