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2215296 = 2733641
BaseRepresentation
bin1000011100110110000000
311011112211000
420130312000
51031342141
6115252000
724554406
oct10346600
94145730
102215296
111283426
128aa000
135c7435
14419476
152db5b6
hex21cd80

2215296 has 64 divisors (see below), whose sum is σ = 6548400. Its totient is φ = 737280.

The previous prime is 2215277. The next prime is 2215303. The reversal of 2215296 is 6925122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3136 + ... + 3776.

22215296 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 2215296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274200).

2215296 is an abundant number, since it is smaller than the sum of its proper divisors (4333104).

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

2215296 is an equidigital number, since it uses as much as digits as its factorization.

2215296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2215296 is about 1488.3870464365. The cubic root of 2215296 is about 130.3598707236.

The spelling of 2215296 in words is "two million, two hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 641 864 1152 1282 1728 1923 2564 3456 3846 5128 5769 7692 10256 11538 15384 17307 20512 23076 30768 34614 41024 46152 61536 69228 82048 92304 123072 138456 184608 246144 276912 369216 553824 738432 1107648 2215296