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33215005140 = 22354314099137
BaseRepresentation
bin11110111011110001…
…001100000111010100
310011201210220002022120
4132323301030013110
51021011020131030
623131520455540
72254045612452
oct367361140724
9104653802276
1033215005140
11130a5005a79
12652b77a5b0
1331944886c5
14187141b9d2
15ce5edd010
hex7bbc4c1d4

33215005140 has 96 divisors (see below), whose sum is σ = 95242815360. Its totient is φ = 8644263936.

The previous prime is 33215005099. The next prime is 33215005171. The reversal of 33215005140 is 4150051233.

It is a super-3 number, since 3×332150051403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33215005140.

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, 3630652 + ... + 3639788.

It is an arithmetic number, because the mean of its divisors is an integer number (992112660).

Almost surely, 233215005140 is an apocalyptic number.

33215005140 is a gapful number since it is divisible by the number (30) 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 33215005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621407680).

33215005140 is an abundant number, since it is smaller than the sum of its proper divisors (62027810220).

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

33215005140 is a wasteful number, since it uses less digits than its factorization.

33215005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 33215005140 its reverse (4150051233), we get a palindrome (37365056373).

The spelling of 33215005140 in words is "thirty-three billion, two hundred fifteen million, five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1409 2580 2818 4227 5636 7045 8454 9137 14090 16908 18274 21135 27411 28180 36548 42270 45685 54822 60587 84540 91370 109644 121174 137055 181761 182740 242348 274110 302935 363522 392891 548220 605870 727044 785782 908805 1178673 1211740 1571564 1817610 1964455 2357346 3635220 3928910 4714692 5893365 7857820 11786730 12874033 23573460 25748066 38622099 51496132 64370165 77244198 128740330 154488396 193110495 257480660 386220990 553583419 772441980 1107166838 1660750257 2214333676 2767917095 3321500514 5535834190 6643001028 8303751285 11071668380 16607502570 33215005140