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22124076 = 22313373833
BaseRepresentation
bin101010001100…
…1011000101100
31112122000112020
41110121120230
521130432301
62110110140
7356023452
oct124313054
945560466
1022124076
1111541167
1274ab350
134778190
142d1c9d2
151e20436
hex151962c

22124076 has 48 divisors (see below), whose sum is σ = 57111264. Its totient is φ = 6621696.

The previous prime is 22124027. The next prime is 22124077. The reversal of 22124076 is 67042122.

It is not an unprimeable number, because it can be changed into a prime (22124077) 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 15 ways as a sum of consecutive naturals, for example, 3856 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (1189818).

Almost surely, 222124076 is an apocalyptic number.

22124076 is a gapful number since it is divisible by the number (26) 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 22124076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555632).

22124076 is an abundant number, since it is smaller than the sum of its proper divisors (34987188).

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

22124076 is a wasteful number, since it uses less digits than its factorization.

22124076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22124076 is about 4703.6237094394. The cubic root of 22124076 is about 280.7297122799.

Adding to 22124076 its reverse (67042122), we get a palindrome (89166198).

The spelling of 22124076 in words is "twenty-two million, one hundred twenty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 3833 5772 7666 11499 15332 22998 45996 49829 99658 141821 149487 199316 283642 298974 425463 567284 597948 850926 1701852 1843673 3687346 5531019 7374692 11062038 22124076