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102212200 = 2352511061
BaseRepresentation
bin1100001011110…
…10001001101000
321010022220210001
412011322021220
5202131242300
614050432344
72350534516
oct605721150
9233286701
10102212200
11527725a2
122a2926b4
13182396bc
14d8094b6
158e9016a
hex617a268

102212200 has 24 divisors (see below), whose sum is σ = 237643830. Its totient is φ = 40884800.

The previous prime is 102212141. The next prime is 102212213. The reversal of 102212200 is 2212201.

Adding to 102212200 its reverse (2212201), we get a palindrome (104424401).

Subtracting from 102212200 its reverse (2212201), we obtain a palindrome (99999999).

It can be divided in two parts, 10221 and 2200, that added together give a palindrome (12421).

It can be written as a sum of positive squares in 3 ways, for example, as 36893476 + 65318724 = 6074^2 + 8082^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 255331 + ... + 255730.

Almost surely, 2102212200 is an apocalyptic number.

102212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212200 is an abundant number, since it is smaller than the sum of its proper divisors (135431630).

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

102212200 is a wasteful number, since it uses less digits than its factorization.

102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511077 (or 511068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102212200 is about 10110.0049455972. The cubic root of 102212200 is about 467.5566576075.

The spelling of 102212200 in words is "one hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 511061 1022122 2044244 2555305 4088488 5110610 10221220 12776525 20442440 25553050 51106100 102212200