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1222146333030 = 235789550111887
BaseRepresentation
bin10001110010001101100…
…110010001100101100110
311022211120110221101122010
4101302031212101211212
5130010423430124110
62333240221215050
7154203632266440
oct21621546214546
94284513841563
101222146333030
1143134481a967
12178a3a401486
138b32b85378c
144321b8bb490
1521bce0c2020
hex11c8d991966

1222146333030 has 128 divisors (see below), whose sum is σ = 3390739107840. Its totient is φ = 276135552000.

The previous prime is 1222146332999. The next prime is 1222146333041. The reversal of 1222146333030 is 303336412221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102807747 + ... + 102819633.

It is an arithmetic number, because the mean of its divisors is an integer number (26490149280).

Almost surely, 21222146333030 is an apocalyptic number.

1222146333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222146333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695369553920).

1222146333030 is an abundant number, since it is smaller than the sum of its proper divisors (2168592774810).

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

1222146333030 is a wasteful number, since it uses less digits than its factorization.

1222146333030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17494.

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 1222146333030 in words is "one trillion, two hundred twenty-two billion, one hundred forty-six million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 1246 1335 1869 2670 3115 3738 5501 6230 9345 11002 11887 16503 18690 23774 27505 33006 35661 38507 55010 59435 71322 77014 82515 83209 115521 118870 165030 166418 178305 192535 231042 249627 356610 385070 416045 489589 499254 577605 832090 979178 1057943 1155210 1248135 1468767 2115886 2447945 2496270 2937534 3173829 3427123 4895890 5289715 6347658 6854246 7343835 7405601 10281369 10579430 14687670 14811202 15869145 17135615 20562738 22216803 31738290 34271230 37028005 44433606 51406845 65390387 74056010 102813690 111084015 130780774 196171161 222168030 326951935 392342322 457732709 653903870 915465418 980855805 1373198127 1961711610 2288663545 2746396254 4577327090 5819744443 6865990635 11639488886 13731981270 17459233329 29098722215 34918466658 40738211101 58197444430 81476422202 87296166645 122214633303 174592333290 203691055505 244429266606 407382111010 611073166515 1222146333030