Search a number
-
+
2226873330 = 233511799491
BaseRepresentation
bin1000010010111011…
…0110001111110010
312202012020212221000
42010232312033302
514030034421310
61004545342430
7106120053033
oct20456661762
95665225830
102226873330
11a43014990
12521937a16
13296480436
14171a74a8a
15d07794c0
hex84bb63f2

2226873330 has 128 divisors (see below), whose sum is σ = 6560870400. Its totient is φ = 532958400.

The previous prime is 2226873289. The next prime is 2226873353. The reversal of 2226873330 is 333786222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229885 + ... + 239375.

It is an arithmetic number, because the mean of its divisors is an integer number (51256800).

Almost surely, 22226873330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226873330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280435200).

2226873330 is an abundant number, since it is smaller than the sum of its proper divisors (4333997070).

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

2226873330 is a wasteful number, since it uses less digits than its factorization.

2226873330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2226873330 is about 47189.7587406420. The cubic root of 2226873330 is about 1305.8656695222.

The spelling of 2226873330 in words is "two billion, two hundred twenty-six million, eight hundred seventy-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 79 90 99 110 135 158 165 198 237 270 297 330 395 474 495 594 711 790 869 990 1185 1422 1485 1738 2133 2370 2607 2970 3555 4266 4345 5214 7110 7821 8690 9491 10665 13035 15642 18982 21330 23463 26070 28473 39105 46926 47455 56946 78210 85419 94910 104401 117315 142365 170838 208802 234630 256257 284730 313203 427095 512514 522005 626406 749789 854190 939609 1044010 1281285 1499578 1566015 1879218 2249367 2562570 2818827 3132030 3748945 4498734 4698045 5637654 6748101 7497890 8247679 9396090 11246835 13496202 14094135 16495358 20244303 22493670 24743037 28188270 33740505 40488606 41238395 49486074 67481010 74229111 82476790 101221515 123715185 148458222 202443030 222687333 247430370 371145555 445374666 742291110 1113436665 2226873330