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33222013132 = 22721121519277
BaseRepresentation
bin11110111100001011…
…111011000011001100
310011202022002010110211
4132330023323003030
51021014313410012
623132331012204
72254162311100
oct367413730314
9104668063424
1033222013132
11130a8a62200
126531b9a064
133195a70449
141872323900
15ce69246a7
hex7bc2fb0cc

33222013132 has 108 divisors (see below), whose sum is σ = 74838055152. Its totient is φ = 12856536000.

The previous prime is 33222013117. The next prime is 33222013141. The reversal of 33222013132 is 23131022233.

It is a super-2 number, since 2×332220131322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3576478 + ... + 3585754.

Almost surely, 233222013132 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 33222013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419027576).

33222013132 is an abundant number, since it is smaller than the sum of its proper divisors (41616042020).

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

33222013132 is a wasteful number, since it uses less digits than its factorization.

33222013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33222013132 its reverse (23131022233), we get a palindrome (56353035365).

The spelling of 33222013132 in words is "thirty-three billion, two hundred twenty-two million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 151 154 196 242 302 308 484 539 604 847 1057 1078 1661 1694 2114 2156 3322 3388 4228 5929 6644 7399 9277 11627 11858 14798 18271 18554 23254 23716 29596 36542 37108 46508 64939 73084 81389 102047 127897 129878 162778 204094 255794 259756 325556 408188 454573 511588 714329 895279 909146 1122517 1400827 1428658 1790558 1818292 2245034 2801654 2857316 3581116 4490068 5000303 5603308 7857619 9805789 10000606 15409097 15715238 19611578 20001212 30818194 31430476 39223156 55003333 61636388 68640523 107863679 110006666 137281046 169500067 215727358 220013332 274562092 339000134 431454716 678000268 755045753 1186500469 1510091506 2373000938 3020183012 4746001876 8305503283 16611006566 33222013132