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220455144 = 233271333647
BaseRepresentation
bin11010010001111…
…10000011101000
3120100211021121100
431020332003220
5422414031034
633513041400
75314560240
oct1510760350
9510737540
10220455144
11103494238
12619b6260
1336899940
14213c8b20
151454a099
hexd23e0e8

220455144 has 96 divisors (see below), whose sum is σ = 734872320. Its totient is φ = 58140288.

The previous prime is 220455127. The next prime is 220455163. The reversal of 220455144 is 441554022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10272 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (7654920).

Almost surely, 2220455144 is an apocalyptic number.

220455144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220455144 is an abundant number, since it is smaller than the sum of its proper divisors (514417176).

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

220455144 is a wasteful number, since it uses less digits than its factorization.

220455144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33679 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 220455144 is about 14847.7319480115. The cubic root of 220455144 is about 604.0970927055.

The spelling of 220455144 in words is "two hundred twenty million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 33647 67294 100941 134588 201882 235529 269176 302823 403764 437411 471058 605646 706587 807528 874822 942116 1211292 1312233 1413174 1749644 1884232 2119761 2422584 2624466 2826348 3061877 3499288 3936699 4239522 5248932 5652696 6123754 7873398 8479044 9185631 10497864 12247508 15746796 16958088 18371262 24495016 27556893 31493592 36742524 55113786 73485048 110227572 220455144