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2231292 = 2237101263
BaseRepresentation
bin1000100000101111111100
311012100202110
420200233330
51032400132
6115454020
724652140
oct10405774
94170673
102231292
111294448
128b7310
136017bb
14421220
152e11cc
hex220bfc

2231292 has 48 divisors (see below), whose sum is σ = 6031872. Its totient is φ = 628800.

The previous prime is 2231279. The next prime is 2231293. The reversal of 2231292 is 2921322.

2231292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312923 = 33326559389798547264, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231293) 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, 8353 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (125664).

22231292 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 2231292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015936).

2231292 is an abundant number, since it is smaller than the sum of its proper divisors (3800580).

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

2231292 is a wasteful number, since it uses less digits than its factorization.

2231292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2231292 is about 1493.7509832633. The cubic root of 2231292 is about 130.6728819525.

The spelling of 2231292 in words is "two million, two hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 263 303 404 526 606 707 789 1052 1212 1414 1578 1841 2121 2828 3156 3682 4242 5523 7364 8484 11046 22092 26563 53126 79689 106252 159378 185941 318756 371882 557823 743764 1115646 2231292