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2231488 = 26717293
BaseRepresentation
bin1000100000110011000000
311012101000201
420200303000
51032401423
6115454544
724652540
oct10406300
94171021
102231488
111294606
128b7454
1360190c
14421320
152e12ad
hex220cc0

2231488 has 56 divisors (see below), whose sum is σ = 5376672. Its totient is φ = 897024.

The previous prime is 2231479. The next prime is 2231491. The reversal of 2231488 is 8841322.

2231488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×22314883 = 33335342524554018816, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam 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, 7470 + ... + 7762.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

22231488 is an apocalyptic number.

2231488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688336).

2231488 is an abundant number, since it is smaller than the sum of its proper divisors (3145184).

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

2231488 is a wasteful number, since it uses less digits than its factorization.

2231488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 2231488 is about 1493.8165884740. The cubic root of 2231488 is about 130.6767080071.

It can be divided in two parts, 223 and 1488, that added together give a triangular number (1711 = T58).

The spelling of 2231488 in words is "two million, two hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 293 448 476 544 586 952 1088 1172 1904 2051 2344 3808 4102 4688 4981 7616 8204 9376 9962 16408 18752 19924 32816 34867 39848 65632 69734 79696 131264 139468 159392 278936 318784 557872 1115744 2231488