Search a number
-
+
33221032020 = 223251143390193
BaseRepresentation
bin11110111100001000…
…001011100001010100
310011202020020021122100
4132330020023201110
51021014041011040
623132254002100
72254151053521
oct367410134124
9104666207570
1033221032020
11130a8452070
1265317a6330
1331957b89c7
14187214a148
15ce67cdb30
hex7bc20b854

33221032020 has 144 divisors (see below), whose sum is σ = 112488247872. Its totient is φ = 7866270720.

The previous prime is 33221031997. The next prime is 33221032027. The reversal of 33221032020 is 2023012233.

It is a happy number.

33221032020 is a `hidden beast` number, since 3 + 322 + 1 + 0 + 320 + 20 = 666.

It is a super-2 number, since 2×332210320202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33221031984 and 33221032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33221032027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109957 + ... + 280236.

It is an arithmetic number, because the mean of its divisors is an integer number (781168388).

Almost surely, 233221032020 is an apocalyptic number.

33221032020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33221032020 is an abundant number, since it is smaller than the sum of its proper divisors (79267215852).

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

33221032020 is a wasteful number, since it uses less digits than its factorization.

33221032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390262 (or 390257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33221032020 its reverse (2023012233), we get a palindrome (35244044253).

The spelling of 33221032020 in words is "thirty-three billion, two hundred twenty-one million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 390193 780386 1170579 1560772 1950965 2341158 3511737 3901930 4292123 4682316 5852895 7023474 7803860 8584246 11705790 12876369 14046948 16778299 17168492 17558685 21460615 23411580 25752738 33556598 35117370 38629107 42921230 50334897 51505476 64381845 67113196 70234740 77258214 83891495 85842460 100669794 128763690 151004691 154516428 167782990 184561289 193145535 201339588 251674485 257527380 302009382 335565980 369122578 386291070 503348970 553683867 604018764 738245156 755023455 772582140 922806445 1006697940 1107367734 1510046910 1661051601 1845612890 2214735468 2768419335 3020093820 3322103202 3691225780 5536838670 6644206404 8305258005 11073677340 16610516010 33221032020