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220928382 = 232312811409
BaseRepresentation
bin11010010101100…
…01100101111110
3120101201022202200
431022301211332
5423024202012
633531132330
75321601033
oct1512614576
9511638680
10220928382
11103787844
1261ba40a6
1336a0416c
14214ad38a
15145e03dc
hexd2b197e

220928382 has 48 divisors (see below), whose sum is σ = 496229760. Its totient is φ = 70963200.

The previous prime is 220928381. The next prime is 220928387. The reversal of 220928382 is 283829022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220928381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156094 + ... + 157502.

It is an arithmetic number, because the mean of its divisors is an integer number (10338120).

Almost surely, 2220928382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220928382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248114880).

220928382 is an abundant number, since it is smaller than the sum of its proper divisors (275301378).

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

220928382 is a wasteful number, since it uses less digits than its factorization.

220928382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 220928382 is about 14863.6597781300. The cubic root of 220928382 is about 604.5290435877.

The spelling of 220928382 in words is "two hundred twenty million, nine hundred twenty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 281 558 562 843 1409 1686 2529 2818 4227 5058 8454 8711 12681 17422 25362 26133 43679 52266 78399 87358 131037 156798 262074 393111 395929 786222 791858 1187787 2375574 3563361 7126722 12273799 24547598 36821397 73642794 110464191 220928382