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22081896 = 233537307
BaseRepresentation
bin101010000111…
…1000101101000
31112112212200000
41110033011220
521123110041
62105143000
7355456464
oct124170550
945485600
1022081896
1111512501
12748aa60
134761c15
142d0b4a4
151e12bb6
hex150f168

22081896 has 96 divisors (see below), whose sum is σ = 63903840. Its totient is φ = 7138368.

The previous prime is 22081877. The next prime is 22081897. The reversal of 22081896 is 69818022.

It is a super-2 number, since 2×220818962 = 975220261909632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22081896.

It is not an unprimeable number, because it can be changed into a prime (22081897) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71775 + ... + 72081.

It is an arithmetic number, because the mean of its divisors is an integer number (665665).

Almost surely, 222081896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22081896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31951920).

22081896 is an abundant number, since it is smaller than the sum of its proper divisors (41821944).

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

22081896 is a wasteful number, since it uses less digits than its factorization.

22081896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 22081896 is about 4699.1377932553. The cubic root of 22081896 is about 280.5511931500.

The spelling of 22081896 in words is "twenty-two million, eighty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 307 324 333 444 486 614 648 666 888 921 972 999 1228 1332 1842 1944 1998 2456 2664 2763 2997 3684 3996 5526 5994 7368 7992 8289 8991 11052 11359 11988 16578 17982 22104 22718 23976 24867 33156 34077 35964 45436 49734 66312 68154 71928 74601 90872 99468 102231 136308 149202 198936 204462 272616 298404 306693 408924 596808 613386 817848 920079 1226772 1840158 2453544 2760237 3680316 5520474 7360632 11040948 22081896