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22312300001220 = 22325472637387707
BaseRepresentation
bin1010001001010111111001…
…01101110011011111000100
32221000000221112212012000200
411010223330231303133010
510411031042300014340
6115242043520010500
74462003410522225
oct504537455633704
987000845765020
1022312300001220
117122658741089
122604334160a30
13c5b06ba09a28
14571cc764124c
1528a5da2a2330
hex144afcb737c4

22312300001220 has 72 divisors (see below), whose sum is σ = 69120657051264. Its totient is φ = 5823352054848.

The previous prime is 22312300001161. The next prime is 22312300001231. The reversal of 22312300001220 is 2210000321322.

22312300001220 is a `hidden beast` number, since 22 + 312 + 300 + 0 + 0 + 12 + 20 = 666.

It is a super-3 number, since 3×223123000012203 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22312300001193 and 22312300001202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318685394 + ... + 1318702313.

It is an arithmetic number, because the mean of its divisors is an integer number (960009125712).

Almost surely, 222312300001220 is an apocalyptic number.

22312300001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312300001220 is an abundant number, since it is smaller than the sum of its proper divisors (46808357050044).

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

22312300001220 is a wasteful number, since it uses less digits than its factorization.

22312300001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637387769 (or 2637387764 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22312300001220 its reverse (2210000321322), we get a palindrome (24522300322542).

The spelling of 22312300001220 in words is "twenty-two trillion, three hundred twelve billion, three hundred million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 2637387707 5274775414 7912163121 10549550828 13186938535 15824326242 23736489363 26373877070 31648652484 39560815605 47472978726 52747754140 79121631210 94945957452 118682446815 123957222229 158243262420 237364893630 247914444458 371871666687 474729787260 495828888916 619786111145 743743333374 1115615000061 1239572222290 1487486666748 1859358333435 2231230000122 2479144444580 3718716666870 4462460000244 5578075000305 7437433333740 11156150000610 22312300001220