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2291352 = 233723593
BaseRepresentation
bin1000101111011010011000
311022102010220
420233122120
51041310402
6121040040
725322220
oct10573230
94272126
102291352
111325588
12926020
13622c3b
14439080
15303dbc
hex22f698

2291352 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 625152.

The previous prime is 2291351. The next prime is 2291353. The reversal of 2291352 is 2531922.

2291352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2291351) and next prime (2291353).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3568 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

22291352 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 2291352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421440).

2291352 is an abundant number, since it is smaller than the sum of its proper divisors (4551528).

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

2291352 is a wasteful number, since it uses less digits than its factorization.

2291352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2291352 is about 1513.7212425014. The cubic root of 2291352 is about 131.8349636257.

The spelling of 2291352 in words is "two million, two hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 593 644 966 1186 1288 1779 1932 2372 3558 3864 4151 4744 7116 8302 12453 13639 14232 16604 24906 27278 33208 40917 49812 54556 81834 95473 99624 109112 163668 190946 286419 327336 381892 572838 763784 1145676 2291352