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1022330233020 = 223573547426707
BaseRepresentation
bin11101110000001111010…
…00010110000010111100
310121201210221200210111110
432320013220112002330
5113222213014424040
62101352500522020
7133601203413135
oct16700750260274
93551727623443
101022330233020
11364627845528
121461743b0310
1375536672685
14376a3dcac8c
151b8d6d76980
hexee07a160bc

1022330233020 has 96 divisors (see below), whose sum is σ = 2907048953088. Its totient is φ = 268394660352.

The previous prime is 1022330232977. The next prime is 1022330233031. The reversal of 1022330233020 is 203320332201.

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 31 ways as a sum of consecutive naturals, for example, 2182507 + ... + 2609213.

It is an arithmetic number, because the mean of its divisors is an integer number (30281759928).

Almost surely, 21022330233020 is an apocalyptic number.

1022330233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022330233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453524476544).

1022330233020 is an abundant number, since it is smaller than the sum of its proper divisors (1884718720068).

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

1022330233020 is a wasteful number, since it uses less digits than its factorization.

1022330233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427339 (or 427337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1022330233020 its reverse (203320332201), we get a palindrome (1225650565221).

The spelling of 1022330233020 in words is "one trillion, twenty-two billion, three hundred thirty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 547 730 876 1094 1095 1460 1641 2188 2190 2735 3282 4380 5470 6564 8205 10940 16410 32820 39931 79862 119793 159724 199655 239586 399310 426707 479172 598965 798620 853414 1197930 1280121 1706828 2133535 2395860 2560242 4267070 5120484 6400605 8534140 12801210 25602420 31149611 62299222 93448833 124598444 155748055 186897666 233408729 311496110 373795332 466817458 467244165 622992220 700226187 933634916 934488330 1167043645 1400452374 1868976660 2334087290 2800904748 3501130935 4668174580 7002261870 14004523740 17038837217 34077674434 51116511651 68155348868 85194186085 102233023302 170388372170 204466046604 255582558255 340776744340 511165116510 1022330233020