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33122143230 = 235112925113789
BaseRepresentation
bin11110110110001110…
…111100101111111110
310011111100011012201120
4132312032330233332
51020313232040410
623114402251410
72251540400151
oct366616745776
9104440135646
1033122143230
111305764a4a0
126504656b66
13317b173c27
141862d67c98
15cdcc98570
hex7b63bcbfe

33122143230 has 128 divisors (see below), whose sum is σ = 90074073600. Its totient is φ = 7721280000.

The previous prime is 33122143213. The next prime is 33122143231. The reversal of 33122143230 is 3234122133.

It is a self number, because there is not a number n which added to its sum of digits gives 33122143230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122143231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2395176 + ... + 2408964.

It is an arithmetic number, because the mean of its divisors is an integer number (703703700).

Almost surely, 233122143230 is an apocalyptic number.

33122143230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122143230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45037036800).

33122143230 is an abundant number, since it is smaller than the sum of its proper divisors (56951930370).

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

33122143230 is a wasteful number, since it uses less digits than its factorization.

33122143230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33122143230 its reverse (3234122133), we get a palindrome (36356265363).

The spelling of 33122143230 in words is "thirty-three billion, one hundred twenty-two million, one hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 251 290 319 330 435 502 638 753 870 957 1255 1506 1595 1914 2510 2761 3190 3765 4785 5522 7279 7530 8283 9570 13789 13805 14558 16566 21837 27578 27610 36395 41367 41415 43674 68945 72790 80069 82734 82830 109185 137890 151679 160138 206835 218370 240207 303358 399881 400345 413670 455037 480414 758395 799762 800690 910074 1199643 1201035 1516790 1999405 2275185 2399286 2402070 3461039 3998810 4398691 4550370 5998215 6922078 8797382 10383117 11996430 13196073 17305195 20766234 21993455 26392146 34610390 38071429 43986910 51915585 65980365 76142858 100370131 103831170 114214287 131960730 190357145 200740262 228428574 301110393 380714290 501850655 571071435 602220786 1003701310 1104071441 1142142870 1505551965 2208142882 3011103930 3312214323 5520357205 6624428646 11040714410 16561071615 33122143230