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2122220002230 = 23251011289181123
BaseRepresentation
bin11110111000011110001…
…010110101101110110110
321111212211011100021000100
4132320132022311232312
5234232301310032410
64302533455454530
7306216406245126
oct36703612655666
97455734307010
102122220002230
11749034957499
122a3373227446
13125180664513
1474a0499cc86
153a30cd018c0
hex1ee1e2b5bb6

2122220002230 has 96 divisors (see below), whose sum is σ = 5576757245280. Its totient is φ = 559884326400.

The previous prime is 2122220002211. The next prime is 2122220002261. The reversal of 2122220002230 is 322000222212.

2122220002230 is a `hidden beast` number, since 21 + 222 + 200 + 0 + 223 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11626449 + ... + 11807571.

It is an arithmetic number, because the mean of its divisors is an integer number (58091221305).

Almost surely, 22122220002230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122220002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788378622640).

2122220002230 is an abundant number, since it is smaller than the sum of its proper divisors (3454537243050).

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

2122220002230 is a wasteful number, since it uses less digits than its factorization.

2122220002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182526 (or 182523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2122220002230 its reverse (322000222212), we get a palindrome (2444220224442).

The spelling of 2122220002230 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1289 1515 1818 2578 3030 3867 4545 6445 7734 9090 11601 12890 19335 23202 38670 58005 116010 130189 181123 260378 362246 390567 543369 650945 781134 905615 1086738 1171701 1301890 1630107 1811230 1952835 2343402 2716845 3260214 3905670 5433690 5858505 8150535 11717010 16301070 18293423 36586846 54880269 91467115 109760538 164640807 182934230 233467547 274401345 329281614 466935094 548802690 700402641 823204035 1167337735 1400805282 1646408070 2101207923 2334675470 3502013205 4202415846 7004026410 10506039615 21012079230 23580222247 47160444494 70740666741 117901111235 141481333482 212222000223 235802222470 353703333705 424444000446 707406667410 1061110001115 2122220002230