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221340100 = 22522213401
BaseRepresentation
bin11010011000101…
…10000111000100
3120102111020112111
431030112013010
5423130340400
633544030404
75325234262
oct1514260704
9512436474
10221340100
11103a39103
1262162404
1336b19697
1421579432
15146723ba
hexd3161c4

221340100 has 18 divisors (see below), whose sum is σ = 480308234. Its totient is φ = 88536000.

The previous prime is 221340079. The next prime is 221340127. The reversal of 221340100 is 1043122.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 218980804 = 1536^2 + 14798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1106601 + ... + 1106800.

Almost surely, 2221340100 is an apocalyptic number.

221340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221340100 is an abundant number, since it is smaller than the sum of its proper divisors (258968134).

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

221340100 is a wasteful number, since it uses less digits than its factorization.

221340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213415 (or 2213408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221340100 is about 14877.5031507306. The cubic root of 221340100 is about 604.9043402247.

Adding to 221340100 its reverse (1043122), we get a palindrome (222383222).

The spelling of 221340100 in words is "two hundred twenty-one million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2213401 4426802 8853604 11067005 22134010 44268020 55335025 110670050 221340100