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2220064 = 257111753
BaseRepresentation
bin1000011110000000100000
311011210100121
420132000200
51032020224
6115330024
724604330
oct10360040
94153317
102220064
111286a70
128b0914
135c9662
1441b0c0
152dcbe4
hex21e020

2220064 has 96 divisors (see below), whose sum is σ = 5878656. Its totient is φ = 798720.

The previous prime is 2220059. The next prime is 2220073. The reversal of 2220064 is 4600222.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 41862 + ... + 41914.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

22220064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328).

2220064 is an abundant number, since it is smaller than the sum of its proper divisors (3658592).

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

2220064 is a wasteful number, since it uses less digits than its factorization.

2220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2220064 is about 1489.9879194141. The cubic root of 2220064 is about 130.4533285835.

Adding to 2220064 its reverse (4600222), we get a palindrome (6820286).

The spelling of 2220064 in words is "two million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 53 56 68 77 88 106 112 119 136 154 176 187 212 224 238 272 308 352 371 374 424 476 544 583 616 742 748 848 901 952 1166 1232 1309 1484 1496 1696 1802 1904 2332 2464 2618 2968 2992 3604 3808 4081 4664 5236 5936 5984 6307 7208 8162 9328 9911 10472 11872 12614 14416 16324 18656 19822 20944 25228 28832 32648 39644 41888 50456 65296 69377 79288 100912 130592 138754 158576 201824 277508 317152 555016 1110032 2220064