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2241792 = 28327139
BaseRepresentation
bin1000100011010100000000
311012220011100
420203110000
51033214132
6120014400
725024560
oct10432400
94186140
102241792
1112a1323
12901400
13606507
14424da0
152e437c
hex223500

2241792 has 108 divisors (see below), whose sum is σ = 7440160. Its totient is φ = 635904.

The previous prime is 2241781. The next prime is 2241797. The reversal of 2241792 is 2971422.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2016) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16059 + ... + 16197.

22241792 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 2241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720080).

2241792 is an abundant number, since it is smaller than the sum of its proper divisors (5198368).

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

2241792 is a wasteful number, since it uses less digits than its factorization.

2241792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2241792 is about 1497.2615002063. The cubic root of 2241792 is about 130.8775344813.

It can be divided in two parts, 224 and 1792, that added together give a triangular number (2016 = T63).

The spelling of 2241792 in words is "two million, two hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 139 144 168 192 224 252 256 278 288 336 384 417 448 504 556 576 672 768 834 896 973 1008 1112 1152 1251 1344 1668 1792 1946 2016 2224 2304 2502 2688 2919 3336 3892 4032 4448 5004 5376 5838 6672 7784 8064 8757 8896 10008 11676 13344 15568 16128 17514 17792 20016 23352 26688 31136 35028 35584 40032 46704 53376 62272 70056 80064 93408 106752 124544 140112 160128 186816 249088 280224 320256 373632 560448 747264 1120896 2241792