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212022100 = 22522120221
BaseRepresentation
bin11001010001100…
…11001101010100
3112202221211122101
430220303031110
5413234201400
633012211444
75153105143
oct1450631524
9482854571
10212022100
11a9754384
125b009b84
1334c06384
142023175a
151393156a
hexca33354

212022100 has 18 divisors (see below), whose sum is σ = 460088174. Its totient is φ = 84808800.

The previous prime is 212022091. The next prime is 212022143. The reversal of 212022100 is 1220212.

It can be written as a sum of positive squares in 3 ways, for example, as 3392964 + 208629136 = 1842^2 + 14444^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1060011 + ... + 1060210.

Almost surely, 2212022100 is an apocalyptic number.

212022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022100 is an abundant number, since it is smaller than the sum of its proper divisors (248066074).

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

212022100 is a wasteful number, since it uses less digits than its factorization.

212022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120235 (or 2120228 counting only the distinct ones).

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

The square root of 212022100 is about 14560.9786758995. The cubic root of 212022100 is about 596.2939146105.

Adding to 212022100 its reverse (1220212), we get a palindrome (213242312).

The spelling of 212022100 in words is "two hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120221 4240442 8480884 10601105 21202210 42404420 53005525 106011050 212022100