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2223120 = 243559157
BaseRepresentation
bin1000011110110000010000
311011221112210
420132300100
51032114440
6115352120
724616254
oct10366020
94157483
102223120
111289299
128b2640
135cab73
1441c264
152dda80
hex21ec10

2223120 has 80 divisors (see below), whose sum is σ = 7053120. Its totient is φ = 579072.

The previous prime is 2223119. The next prime is 2223149. The reversal of 2223120 is 213222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2223096 and 2223105.

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, 14082 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (88164).

22223120 is an apocalyptic number.

2223120 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 2223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526560).

2223120 is an abundant number, since it is smaller than the sum of its proper divisors (4830000).

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

2223120 is a wasteful number, since it uses less digits than its factorization.

2223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2223120 is about 1491.0130784135. The cubic root of 2223120 is about 130.5131590788.

Adding to 2223120 its reverse (213222), we get a palindrome (2436342).

The spelling of 2223120 in words is "two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 157 177 236 240 295 314 354 471 472 590 628 708 785 885 942 944 1180 1256 1416 1570 1770 1884 2355 2360 2512 2832 3140 3540 3768 4710 4720 6280 7080 7536 9263 9420 12560 14160 18526 18840 27789 37052 37680 46315 55578 74104 92630 111156 138945 148208 185260 222312 277890 370520 444624 555780 741040 1111560 2223120