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220315344 = 243231971013
BaseRepresentation
bin11010010000110…
…11111011010000
3120100120011211120
431020123323100
5422400042334
633510042240
75313435534
oct1510337320
9510504746
10220315344
111033a91a7
1261949380
133684b112
142138dbc4
151451d949
hexd21bed0

220315344 has 80 divisors (see below), whose sum is σ = 597497472. Its totient is φ = 69819904.

The previous prime is 220315339. The next prime is 220315351. The reversal of 220315344 is 443513022.

220315344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 216982 + ... + 217994.

Almost surely, 2220315344 is an apocalyptic number.

220315344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736).

220315344 is an abundant number, since it is smaller than the sum of its proper divisors (377182128).

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

220315344 is a wasteful number, since it uses less digits than its factorization.

220315344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 220315344 is about 14843.0234116908. The cubic root of 220315344 is about 603.9693711352.

Adding to 220315344 its reverse (443513022), we get a palindrome (663828366).

The spelling of 220315344 in words is "two hundred twenty million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 197 276 368 394 552 591 788 1013 1104 1182 1576 2026 2364 3039 3152 4052 4531 4728 6078 8104 9062 9456 12156 13593 16208 18124 23299 24312 27186 36248 46598 48624 54372 69897 72496 93196 108744 139794 186392 199561 217488 279588 372784 399122 559176 598683 798244 1118352 1197366 1596488 2394732 3192976 4589903 4789464 9179806 9578928 13769709 18359612 27539418 36719224 55078836 73438448 110157672 220315344