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2393226 = 234111779
BaseRepresentation
bin1001001000010010001010
311111120220000
421020102022
51103040401
6123143430
726225223
oct11102212
94446800
102393226
111395080
12974b76
1365a414
1446424a
15324186
hex24848a

2393226 has 80 divisors (see below), whose sum is σ = 6272640. Its totient is φ = 673920.

The previous prime is 2393189. The next prime is 2393233. The reversal of 2393226 is 6223932.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2393226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30255 + ... + 30333.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

22393226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2393226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136320).

2393226 is an abundant number, since it is smaller than the sum of its proper divisors (3879414).

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

2393226 is a wasteful number, since it uses less digits than its factorization.

2393226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2393226 is about 1547.0054944957. The cubic root of 2393226 is about 133.7605063514.

The spelling of 2393226 in words is "two million, three hundred ninety-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 79 81 99 102 153 158 162 187 198 237 297 306 374 459 474 561 594 711 869 891 918 1122 1343 1377 1422 1683 1738 1782 2133 2607 2686 2754 3366 4029 4266 5049 5214 6399 7821 8058 10098 12087 12798 14773 15147 15642 23463 24174 29546 30294 36261 44319 46926 70389 72522 88638 108783 132957 140778 217566 265914 398871 797742 1196613 2393226