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2226780 = 2232589139
BaseRepresentation
bin1000011111101001011100
311012010120100
420133221130
51032224110
6115421100
724633033
oct10375134
94163510
102226780
111291016
128b4790
135cc72a
1441d71a
152debc0
hex21fa5c

2226780 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 582912.

The previous prime is 2226769. The next prime is 2226787. The reversal of 2226780 is 876222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15951 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

22226780 is an apocalyptic number.

2226780 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 2226780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2226780 is an abundant number, since it is smaller than the sum of its proper divisors (4652820).

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

2226780 is a wasteful number, since it uses less digits than its factorization.

2226780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2226780 is about 1492.2399270895. The cubic root of 2226780 is about 130.5847425984.

The spelling of 2226780 in words is "two million, two hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 139 178 180 267 278 356 417 445 534 556 695 801 834 890 1068 1251 1335 1390 1602 1668 1780 2085 2502 2670 2780 3204 4005 4170 5004 5340 6255 8010 8340 12371 12510 16020 24742 25020 37113 49484 61855 74226 111339 123710 148452 185565 222678 247420 371130 445356 556695 742260 1113390 2226780