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42322000232204 = 227115314173182927
BaseRepresentation
bin10011001111101110110111…
…10010100011111100001100
312112211221110222000111000122
421213313123302203330030
521021400424024412304
6230002243011444112
711625443422261010
oct1147673362437414
9175757428014018
1042322000232204
1112537728887240
1248b63542b6638
131a7cc418612c4
14a64577cac540
154d5d5ba309be
hex267ddbca3f0c

42322000232204 has 96 divisors (see below), whose sum is σ = 94088305575936. Its totient is φ = 16176746177280.

The previous prime is 42322000232137. The next prime is 42322000232231. The reversal of 42322000232204 is 40223200022324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231268589 + ... + 231451515.

It is an arithmetic number, because the mean of its divisors is an integer number (980086516416).

Almost surely, 242322000232204 is an apocalyptic number.

42322000232204 is a gapful number since it is divisible by the number (44) 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 42322000232204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044152787968).

42322000232204 is an abundant number, since it is smaller than the sum of its proper divisors (51766305343732).

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

42322000232204 is a wasteful number, since it uses less digits than its factorization.

42322000232204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197175 (or 197173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 42322000232204 its reverse (40223200022324), we get a palindrome (82545200254528).

The spelling of 42322000232204 in words is "forty-two trillion, three hundred twenty-two billion, two hundred thirty-two thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1484 2332 4081 8162 14173 16324 28346 56692 99211 155903 182927 198422 311806 365854 396844 623612 731708 751169 1091321 1280489 1502338 2012197 2182642 2560978 3004676 4024394 4365284 5121956 5258183 8048788 8262859 9695131 10516366 14085379 16525718 19390262 21032732 28170758 33051436 38780524 56341516 57840013 67865917 106646441 115680026 135731834 213292882 231360052 271463668 426585764 746525087 1493050174 2592624371 2986100348 5185248742 10370497484 18148370597 28518868081 36296741194 57037736162 72593482388 114075472324 137409091663 199632076567 274818183326 399264153134 549636366652 798528306268 961863641641 1511500008293 1923727283282 3023000016586 3847454566564 6046000033172 10580500058051 21161000116102 42322000232204