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220023320 = 23511717043
BaseRepresentation
bin11010001110101…
…00101000011000
3120100000100020212
431013110220120
5422311221240
633455510252
75311111256
oct1507245030
9510010225
10220023320
11103219860
1261828388
133677821a
14213155d6
15144b2165
hexd1d4a18

220023320 has 64 divisors (see below), whose sum is σ = 547741440. Its totient is φ = 78870400.

The previous prime is 220023301. The next prime is 220023329. The reversal of 220023320 is 23320022.

It is a super-2 number, since 2×2200233202 = 96820522687644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220023295 and 220023304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220023329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27719 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (8558460).

Almost surely, 2220023320 is an apocalyptic number.

220023320 is a gapful number since it is divisible by the number (20) 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 220023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273870720).

220023320 is an abundant number, since it is smaller than the sum of its proper divisors (327718120).

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

220023320 is a wasteful number, since it uses less digits than its factorization.

220023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 220023320 is about 14833.1830704000. The cubic root of 220023320 is about 603.7024029908.

Adding to 220023320 its reverse (23320022), we get a palindrome (243343342).

The spelling of 220023320 in words is "two hundred twenty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7043 7810 14086 15620 28172 31240 35215 56344 70430 77473 140860 154946 281720 309892 387365 500053 619784 774730 1000106 1549460 2000212 2500265 3098920 4000424 5000530 5500583 10001060 11001166 20002120 22002332 27502915 44004664 55005830 110011660 220023320