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2229390 = 233523359
BaseRepresentation
bin1000100000010010001110
311012021011000
420200102032
51032320030
6115441130
724643452
oct10402216
94167130
102229390
111292a79
128b61a6
13600987
14420662
152e0860
hex22048e

2229390 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 567072.

The previous prime is 2229389. The next prime is 2229391. The reversal of 2229390 is 939222.

It is an interprime number because it is at equal distance from previous prime (2229389) and next prime (2229391).

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 (2229391) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6031 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22229390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2229390 is an abundant number, since it is smaller than the sum of its proper divisors (3991410).

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

2229390 is a wasteful number, since it uses less digits than its factorization.

2229390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2229390 is about 1493.1141952309. The cubic root of 2229390 is about 130.6357419644.

The spelling of 2229390 in words is "two million, two hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 359 414 621 690 718 1035 1077 1242 1795 2070 2154 3105 3231 3590 5385 6210 6462 8257 9693 10770 16155 16514 19386 24771 32310 41285 48465 49542 74313 82570 96930 123855 148626 222939 247710 371565 445878 743130 1114695 2229390