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221424100 = 225219116539
BaseRepresentation
bin11010011001010…
…10100111100100
3120102122111202121
431030222213210
5423141032400
633545515324
75326034212
oct1514524744
9512574677
10221424100
11103a96227
12621a2b44
1336b489a1
142159bcb2
151468c21a
hexd32a9e4

221424100 has 36 divisors (see below), whose sum is σ = 505783600. Its totient is φ = 83907360.

The previous prime is 221424061. The next prime is 221424101. The reversal of 221424100 is 1424122.

221424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221424101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56370 + ... + 60169.

Almost surely, 2221424100 is an apocalyptic number.

221424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221424100 is an abundant number, since it is smaller than the sum of its proper divisors (284359500).

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

221424100 is a wasteful number, since it uses less digits than its factorization.

221424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116572 (or 116565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 221424100 is about 14880.3259372905. The cubic root of 221424100 is about 604.9808522501.

Adding to 221424100 its reverse (1424122), we get a palindrome (222848222).

The spelling of 221424100 in words is "two hundred twenty-one million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 116539 233078 466156 582695 1165390 2214241 2330780 2913475 4428482 5826950 8856964 11071205 11653900 22142410 44284820 55356025 110712050 221424100