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2226120 = 2335131427
BaseRepresentation
bin1000011111011111001000
311012002122220
420133133020
51032213440
6115414040
724631101
oct10373710
94162586
102226120
111290576
128b4320
135cc340
1441d3a8
152de8d0
hex21f7c8

2226120 has 64 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 547584.

The previous prime is 2226089. The next prime is 2226131. The reversal of 2226120 is 216222.

2226120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22261202 = 9911220508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2226120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

22226120 is an apocalyptic number.

2226120 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 2226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2226120 is an abundant number, since it is smaller than the sum of its proper divisors (4971000).

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

2226120 is a wasteful number, since it uses less digits than its factorization.

2226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2226120 is about 1492.0187666380. The cubic root of 2226120 is about 130.5718398949.

It can be divided in two parts, 2226 and 120, that added together give a triangular number (2346 = T68).

The spelling of 2226120 in words is "two million, two hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1427 1560 2854 4281 5708 7135 8562 11416 14270 17124 18551 21405 28540 34248 37102 42810 55653 57080 74204 85620 92755 111306 148408 171240 185510 222612 278265 371020 445224 556530 742040 1113060 2226120