Search a number
-
+
221452500 = 2235429527
BaseRepresentation
bin11010011001100…
…01100011010100
3120102200221201110
431030301203110
5423142440000
633550255020
75326213053
oct1514614324
9512627643
10221452500
111040055a5
12621b7470
1336b588a9
14215a839a
1514695850
hexd3318d4

221452500 has 60 divisors (see below), whose sum is σ = 645718304. Its totient is φ = 59052000.

The previous prime is 221452477. The next prime is 221452501. The reversal of 221452500 is 5254122.

It is a happy number.

221452500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221452501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7264 + ... + 22263.

Almost surely, 2221452500 is an apocalyptic number.

221452500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221452500 is an abundant number, since it is smaller than the sum of its proper divisors (424265804).

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

221452500 is a wasteful number, since it uses less digits than its factorization.

221452500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29554 (or 29537 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 221452500 is about 14881.2801868656. The cubic root of 221452500 is about 605.0067162244.

The spelling of 221452500 in words is "two hundred twenty-one million, four hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 7500 29527 59054 88581 118108 147635 177162 295270 354324 442905 590540 738175 885810 1476350 1771620 2214525 2952700 3690875 4429050 7381750 8858100 11072625 14763500 18454375 22145250 36908750 44290500 55363125 73817500 110726250 221452500