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2215248 = 243719347
BaseRepresentation
bin1000011100110101010000
311011112202020
420130311100
51031341443
6115251440
724554310
oct10346520
94145666
102215248
111283392
128a9b80
135c73c9
14419440
152db583
hex21cd50

2215248 has 80 divisors (see below), whose sum is σ = 6904320. Its totient is φ = 597888.

The previous prime is 2215237. The next prime is 2215277. The reversal of 2215248 is 8425122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 6211 + ... + 6557.

It is an arithmetic number, because the mean of its divisors is an integer number (86304).

22215248 is an apocalyptic number.

2215248 is a gapful number since it is divisible by the number (28) 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 2215248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452160).

2215248 is an abundant number, since it is smaller than the sum of its proper divisors (4689072).

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

2215248 is a wasteful number, since it uses less digits than its factorization.

2215248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2215248 is about 1488.3709215112. The cubic root of 2215248 is about 130.3589291912.

The spelling of 2215248 in words is "two million, two hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 347 399 456 532 694 798 912 1041 1064 1388 1596 2082 2128 2429 2776 3192 4164 4858 5552 6384 6593 7287 8328 9716 13186 14574 16656 19432 19779 26372 29148 38864 39558 46151 52744 58296 79116 92302 105488 116592 138453 158232 184604 276906 316464 369208 553812 738416 1107624 2215248