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2226978 = 2321331307
BaseRepresentation
bin1000011111101100100010
311012010211200
420133230202
51032230403
6115422030
724633435
oct10375442
94163750
102226978
111291186
128b4916
135cc850
1441d81c
152deca3
hex21fb22

2226978 has 48 divisors (see below), whose sum is σ = 5381376. Its totient is φ = 660960.

The previous prime is 2226953. The next prime is 2226989. The reversal of 2226978 is 8796222.

2226978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 24 + 214 + 219 + 68 + 94 + 72 + 82 .

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 7101 + ... + 7407.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22226978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690688).

2226978 is an abundant number, since it is smaller than the sum of its proper divisors (3154398).

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

2226978 is a wasteful number, since it uses less digits than its factorization.

2226978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2226978 is about 1492.3062688336. The cubic root of 2226978 is about 130.5886129123.

It can be divided in two parts, 22 and 26978, that added together give a cube (27000 = 303).

The spelling of 2226978 in words is "two million, two hundred twenty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 307 403 558 614 806 921 1209 1842 2418 2763 3627 3991 5526 7254 7982 9517 11973 19034 23946 28551 35919 57102 71838 85653 123721 171306 247442 371163 742326 1113489 2226978