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20033212332 = 2237283601683
BaseRepresentation
bin10010101010000100…
…101000111110101100
31220201011000122000010
4102222010220332230
5312012000243312
613111513133220
71306304331600
oct225204507654
956634018003
1020033212332
118550253a31
123a710ba210
131b73535ac3
14d8088d500
157c3b2b93c
hex4aa128fac

20033212332 has 144 divisors (see below), whose sum is σ = 55203265152. Its totient is φ = 5637139200.

The previous prime is 20033212319. The next prime is 20033212361. The reversal of 20033212332 is 23321233002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20033212299 and 20033212308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29330863 + ... + 29331545.

It is an arithmetic number, because the mean of its divisors is an integer number (383356008).

Almost surely, 220033212332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20033212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27601632576).

20033212332 is an abundant number, since it is smaller than the sum of its proper divisors (35170052820).

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

20033212332 is a wasteful number, since it uses less digits than its factorization.

20033212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

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

Adding to 20033212332 its reverse (23321233002), we get a palindrome (43354445334).

The spelling of 20033212332 in words is "twenty billion, thirty-three million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 498 581 588 601 683 996 1162 1202 1366 1743 1803 2049 2324 2404 2732 3486 3606 4067 4098 4207 4781 6972 7212 8134 8196 8414 9562 12201 12621 14343 16268 16828 19124 24402 25242 28686 29449 33467 48804 49883 50484 56689 57372 58898 66934 88347 99766 100401 113378 117796 133868 149649 170067 176694 199532 200802 226756 299298 340134 349181 353388 396823 401604 410483 598596 680268 698362 793646 820966 1047543 1190469 1231449 1396724 1587292 1641932 2095086 2380938 2444267 2462898 2777761 2873381 4190172 4761876 4888534 4925796 5555522 5746762 7332801 8333283 8620143 9777068 11111044 11493524 14665602 16666566 17240286 20113667 29331204 33333132 34070089 34480572 40227334 60341001 68140178 80454668 102210267 120682002 136280356 204420534 238490623 241364004 408841068 476981246 715471869 953962492 1430943738 1669434361 2861887476 3338868722 5008303083 6677737444 10016606166 20033212332