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220942332 = 2232133197157
BaseRepresentation
bin11010010101101…
…00111111111100
3120101202000220100
431022310333330
5423030123312
633531321100
75321656512
oct1512647774
9511660810
10220942332
11103797276
1261bb0190
1336a0a610
14214b44b2
15145e45dc
hexd2b4ffc

220942332 has 144 divisors (see below), whose sum is σ = 631251712. Its totient is φ = 64696320.

The previous prime is 220942327. The next prime is 220942333. The reversal of 220942332 is 233249022.

220942332 is a `hidden beast` number, since 2 + 209 + 423 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220942296 and 220942305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220942333) 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, 1407198 + ... + 1407354.

Almost surely, 2220942332 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 220942332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315625856).

220942332 is an abundant number, since it is smaller than the sum of its proper divisors (410309380).

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

220942332 is a wasteful number, since it uses less digits than its factorization.

220942332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 220942332 is about 14864.1290360384. The cubic root of 220942332 is about 604.5417671720.

The spelling of 220942332 in words is "two hundred twenty million, nine hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 97 117 124 156 157 186 194 234 279 291 314 372 388 403 468 471 558 582 628 806 873 942 1116 1164 1209 1261 1413 1612 1746 1884 2041 2418 2522 2826 3007 3492 3627 3783 4082 4836 4867 5044 5652 6014 6123 7254 7566 8164 9021 9734 11349 12028 12246 14508 14601 15132 15229 18042 18369 19468 22698 24492 27063 29202 30458 36084 36738 39091 43803 45396 45687 54126 58404 60916 63271 73476 78182 87606 91374 108252 117273 126542 137061 156364 175212 182748 189813 197977 234546 253084 274122 351819 379626 395954 469092 472099 548244 569439 593931 703638 759252 791908 944198 1138878 1187862 1407276 1416297 1781793 1888396 2277756 2375724 2832594 3563586 4248891 5665188 6137287 7127172 8497782 12274574 16995564 18411861 24549148 36823722 55235583 73647444 110471166 220942332