Search a number
-
+
2229480 = 2332511563
BaseRepresentation
bin1000100000010011101000
311012021021100
420200103220
51032320410
6115441400
724643641
oct10402350
94167240
102229480
111293050
128b6260
13600a26
144206c8
152e08c0
hex2204e8

2229480 has 96 divisors (see below), whose sum is σ = 7918560. Its totient is φ = 539520.

The previous prime is 2229473. The next prime is 2229497. The reversal of 2229480 is 849222.

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 23 ways as a sum of consecutive naturals, for example, 3679 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (82485).

22229480 is an apocalyptic number.

2229480 is a gapful number since it is divisible by the number (20) 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 2229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959280).

2229480 is an abundant number, since it is smaller than the sum of its proper divisors (5689080).

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

2229480 is a wasteful number, since it uses less digits than its factorization.

2229480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2229480 is about 1493.1443332779. The cubic root of 2229480 is about 130.6374998531.

The spelling of 2229480 in words is "two million, two hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 563 660 792 990 1126 1320 1689 1980 2252 2815 3378 3960 4504 5067 5630 6193 6756 8445 10134 11260 12386 13512 16890 18579 20268 22520 24772 25335 30965 33780 37158 40536 49544 50670 55737 61930 67560 74316 92895 101340 111474 123860 148632 185790 202680 222948 247720 278685 371580 445896 557370 743160 1114740 2229480