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22168420 = 22510910169
BaseRepresentation
bin101010010010…
…0001101100100
31112201021100121
41110210031210
521133342140
62111051324
7356266651
oct124441544
945637317
1022168420
111157150a
127510b44
134792411
142d30c28
151e2d64a
hex1524364

22168420 has 24 divisors (see below), whose sum is σ = 46985400. Its totient is φ = 8785152.

The previous prime is 22168417. The next prime is 22168429. The reversal of 22168420 is 2486122.

22168420 = T75 + T76 + ... + T510.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 13264164 = 2984^2 + 3642^2 .

It is not an unprimeable number, because it can be changed into a prime (22168429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2905 + ... + 7264.

It is an arithmetic number, because the mean of its divisors is an integer number (1957725).

Almost surely, 222168420 is an apocalyptic number.

22168420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22168420 is an abundant number, since it is smaller than the sum of its proper divisors (24816980).

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

22168420 is a wasteful number, since it uses less digits than its factorization.

22168420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 22168420 is about 4708.3351622415. The cubic root of 22168420 is about 280.9171456521.

The spelling of 22168420 in words is "twenty-two million, one hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 10169 20338 40676 50845 101690 203380 1108421 2216842 4433684 5542105 11084210 22168420