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2191232 = 27171953
BaseRepresentation
bin1000010110111110000000
311010022210202
420112332000
51030104412
6114544332
724424301
oct10267600
94108722
102191232
11126733a
128980a8
135b94b4
144107a8
152d43c2
hex216f80

2191232 has 64 divisors (see below), whose sum is σ = 4957200. Its totient is φ = 958464.

The previous prime is 2191229. The next prime is 2191243. The reversal of 2191232 is 2321912.

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

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, 41318 + ... + 41370.

22191232 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 2191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478600).

2191232 is an abundant number, since it is smaller than the sum of its proper divisors (2765968).

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

2191232 is a wasteful number, since it uses less digits than its factorization.

2191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 2191232 is about 1480.2810543947. The cubic root of 2191232 is about 129.8861330347.

The spelling of 2191232 in words is "two million, one hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 64 68 76 106 128 136 152 212 272 304 323 424 544 608 646 848 901 1007 1088 1216 1292 1696 1802 2014 2176 2432 2584 3392 3604 4028 5168 6784 7208 8056 10336 14416 16112 17119 20672 28832 32224 34238 41344 57664 64448 68476 115328 128896 136952 273904 547808 1095616 2191232