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2212000230 = 2351129376247
BaseRepresentation
bin1000001111011000…
…0111000111100110
312201011021020212110
42003312013013212
514012233001410
61003254501450
7105546456156
oct20366070746
95634236773
102212000230
11a35686570
12518964886
1329337379b
1416dac2766
15ce2dc720
hex83d871e6

2212000230 has 128 divisors (see below), whose sum is σ = 6154030080. Its totient is φ = 503677440.

The previous prime is 2212000207. The next prime is 2212000249. The reversal of 2212000230 is 320002122.

2212000230 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350967 + ... + 357213.

It is an arithmetic number, because the mean of its divisors is an integer number (48078360).

Almost surely, 22212000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077015040).

2212000230 is an abundant number, since it is smaller than the sum of its proper divisors (3942029850).

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

2212000230 is a wasteful number, since it uses less digits than its factorization.

2212000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2212000230 is about 47031.9065103680. The cubic root of 2212000230 is about 1302.9519172382.

Adding to 2212000230 its reverse (320002122), we get a palindrome (2532002352).

The spelling of 2212000230 in words is "two billion, two hundred twelve million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 37 55 58 66 74 87 110 111 145 165 174 185 222 290 319 330 370 407 435 555 638 814 870 957 1073 1110 1221 1595 1914 2035 2146 2442 3190 3219 4070 4785 5365 6105 6247 6438 9570 10730 11803 12210 12494 16095 18741 23606 31235 32190 35409 37482 59015 62470 68717 70818 93705 118030 137434 177045 181163 187410 206151 231139 343585 354090 362326 412302 462278 543489 687170 693417 905815 1030755 1086978 1155695 1386834 1811630 1992793 2061510 2311390 2542529 2717445 3467085 3985586 5085058 5434890 5978379 6703031 6934170 7627587 9963965 11956758 12712645 13406062 15255174 19927930 20109093 25425290 29891895 33515155 38137935 40218186 59783790 67030310 73733341 76275870 100545465 147466682 201090930 221200023 368666705 442400046 737333410 1106000115 2212000230