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22161328 = 2472231229
BaseRepresentation
bin101010010001…
…0011110110000
31112200220121221
41110202132300
521133130303
62110554424
7356240200
oct124423660
945626557
1022161328
1111567152
127508a14
13478c117
142d2c400
151e2b4bd
hex15227b0

22161328 has 60 divisors (see below), whose sum is σ = 52161840. Its totient is φ = 9077376.

The previous prime is 22161313. The next prime is 22161331. The reversal of 22161328 is 82316122.

It is a super-2 number, since 2×221613282 = 982248917447168, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 17418 + ... + 18646.

It is an arithmetic number, because the mean of its divisors is an integer number (869364).

Almost surely, 222161328 is an apocalyptic number.

22161328 is a gapful number since it is divisible by the number (28) 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 22161328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080920).

22161328 is an abundant number, since it is smaller than the sum of its proper divisors (30000512).

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

22161328 is a wasteful number, since it uses less digits than its factorization.

22161328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 22161328 is about 4707.5819695466. The cubic root of 22161328 is about 280.8871859634.

The spelling of 22161328 in words is "twenty-two million, one hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1229 1288 2254 2458 2576 4508 4916 8603 9016 9832 17206 18032 19664 28267 34412 56534 60221 68824 113068 120442 137648 197869 226136 240884 395738 452272 481768 791476 963536 1385083 1582952 2770166 3165904 5540332 11080664 22161328