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2258172 = 2233729103
BaseRepresentation
bin1000100111010011111100
311020201122000
420213103330
51034230142
6120222300
725123410
oct10472374
94221560
102258172
111302664
1290a990
13610ac7
1442ad40
152e914c
hex2274fc

2258172 has 96 divisors (see below), whose sum is σ = 6988800. Its totient is φ = 616896.

The previous prime is 2258167. The next prime is 2258173. The reversal of 2258172 is 2718522.

2258172 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21873 + ... + 21975.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

22258172 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 2258172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494400).

2258172 is an abundant number, since it is smaller than the sum of its proper divisors (4730628).

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

2258172 is a wasteful number, since it uses less digits than its factorization.

2258172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2258172 is about 1502.7215310895. The cubic root of 2258172 is about 131.1955202466.

The spelling of 2258172 in words is "two million, two hundred fifty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 103 108 116 126 174 189 203 206 252 261 309 348 378 406 412 522 609 618 721 756 783 812 927 1044 1218 1236 1442 1566 1827 1854 2163 2436 2781 2884 2987 3132 3654 3708 4326 5481 5562 5974 6489 7308 8652 8961 10962 11124 11948 12978 17922 19467 20909 21924 25956 26883 35844 38934 41818 53766 62727 77868 80649 83636 107532 125454 161298 188181 250908 322596 376362 564543 752724 1129086 2258172