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2272032 = 25327323
BaseRepresentation
bin1000101010101100100000
311021102122100
420222230200
51040201112
6120410400
725212000
oct10525440
94242570
102272032
111312014
12916a00
136171c9
14432000
152ed2dc
hex22ab20

2272032 has 144 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 620928.

The previous prime is 2272019. The next prime is 2272073. The reversal of 2272032 is 2302722.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2271996 and 2272014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98773 + ... + 98795.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

22272032 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 2272032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2272032 is an abundant number, since it is smaller than the sum of its proper divisors (5590368).

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

2272032 is a wasteful number, since it uses less digits than its factorization.

2272032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2272032 is about 1507.3261093738. The cubic root of 2272032 is about 131.4633862220.

Adding to 2272032 its reverse (2302722), we get a palindrome (4574754).

The spelling of 2272032 in words is "two million, two hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 69 72 84 92 96 98 112 126 138 144 147 161 168 184 196 207 224 252 276 288 294 322 336 343 368 392 414 441 483 504 552 588 644 672 686 736 784 828 882 966 1008 1029 1104 1127 1176 1288 1372 1449 1568 1656 1764 1932 2016 2058 2208 2254 2352 2576 2744 2898 3087 3312 3381 3528 3864 4116 4508 4704 5152 5488 5796 6174 6624 6762 7056 7728 7889 8232 9016 10143 10976 11592 12348 13524 14112 15456 15778 16464 18032 20286 23184 23667 24696 27048 31556 32928 36064 40572 46368 47334 49392 54096 63112 71001 81144 94668 98784 108192 126224 142002 162288 189336 252448 284004 324576 378672 568008 757344 1136016 2272032