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2133210432 = 26337476389
BaseRepresentation
bin111111100100110…
…0011010101000000
312111200000022120210
41333021203111000
513332100213212
6551402034120
7103601663253
oct17711432500
95450008523
102133210432
119a5161631
124b64a8940
1327cc481c2
1416345309a
15c742753c
hex7f263540

2133210432 has 112 divisors (see below), whose sum is σ = 5920922880. Its totient is φ = 677025792.

The previous prime is 2133210421. The next prime is 2133210451. The reversal of 2133210432 is 2340123312.

It is a junction number, because it is equal to n+sod(n) for n = 2133210399 and 2133210408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330694 + ... + 337082.

Almost surely, 22133210432 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 2133210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960461440).

2133210432 is an abundant number, since it is smaller than the sum of its proper divisors (3787712448).

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

2133210432 is a wasteful number, since it uses less digits than its factorization.

2133210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2133210432 is about 46186.6910700474. The cubic root of 2133210432 is about 1287.2944581801.

Adding to 2133210432 its reverse (2340123312), we get a palindrome (4473333744).

The spelling of 2133210432 in words is "two billion, one hundred thirty-three million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 141 148 188 192 222 282 296 376 444 564 592 752 888 1128 1184 1504 1739 1776 2256 2368 3008 3478 3552 4512 5217 6389 6956 7104 9024 10434 12778 13912 19167 20868 25556 27824 38334 41736 51112 55648 76668 83472 102224 111296 153336 166944 204448 236393 300283 306672 333888 408896 472786 600566 613344 709179 900849 945572 1201132 1226688 1418358 1801698 1891144 2402264 2836716 3603396 3782288 4804528 5673432 7206792 7564576 9609056 11110471 11346864 14413584 15129152 19218112 22220942 22693728 28827168 33331413 44441884 45387456 57654336 66662826 88883768 133325652 177767536 266651304 355535072 533302608 711070144 1066605216 2133210432