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22274920 = 235896257
BaseRepresentation
bin101010011111…
…0001101101000
31112220200110001
41110332031220
521200244140
62113232344
7360222313
oct124761550
945820401
1022274920
1111634528
1275626b4
1347cba35
142d5b97a
151e4ee9a
hex153e368

22274920 has 32 divisors (see below), whose sum is σ = 50689800. Its totient is φ = 8808448.

The previous prime is 22274909. The next prime is 22274921. The reversal of 22274920 is 2947222.

It can be written as a sum of positive squares in 4 ways, for example, as 20484676 + 1790244 = 4526^2 + 1338^2 .

It is a super-2 number, since 2×222749202 = 992344122012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22274921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 432 + ... + 6688.

Almost surely, 222274920 is an apocalyptic number.

22274920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22274920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25344900).

22274920 is an abundant number, since it is smaller than the sum of its proper divisors (28414880).

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

22274920 is a wasteful number, since it uses less digits than its factorization.

22274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 22274920 is about 4719.6313415351. The cubic root of 22274920 is about 281.3662814647.

The spelling of 22274920 in words is "twenty-two million, two hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 6257 12514 25028 31285 50056 62570 125140 250280 556873 1113746 2227492 2784365 4454984 5568730 11137460 22274920