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22192940 = 22571114411
BaseRepresentation
bin101010010101…
…0001100101100
31112202111222202
41110222030230
521140133230
62111401032
7356431310
oct124521454
945674882
1022192940
1111588980
127523178
1347a0623
142d39b40
151e35a45
hex152a32c

22192940 has 48 divisors (see below), whose sum is σ = 58109184. Its totient is φ = 6916800.

The previous prime is 22192927. The next prime is 22192981. The reversal of 22192940 is 4929122.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5666 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (1210608).

Almost surely, 222192940 is an apocalyptic number.

22192940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22192940 is an abundant number, since it is smaller than the sum of its proper divisors (35916244).

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

22192940 is a wasteful number, since it uses less digits than its factorization.

22192940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14436 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 22192940 is about 4710.9383354062. The cubic root of 22192940 is about 281.0206795738.

It can be divided in two parts, 22192 and 940, that added together give a palindrome (23132).

The spelling of 22192940 in words is "twenty-two million, one hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 14411 28822 57644 72055 100877 144110 158521 201754 288220 317042 403508 504385 634084 792605 1008770 1109647 1585210 2017540 2219294 3170420 4438588 5548235 11096470 22192940