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220012320 = 25351141669
BaseRepresentation
bin11010001110100…
…01111100100000
3120022222210011110
431013101330200
5422310343240
633455343320
75311034223
oct1507217440
9508883143
10220012320
11103211570
1261821b40
1336773208
14213115ba
15144adc80
hexd1d1f20

220012320 has 96 divisors (see below), whose sum is σ = 756060480. Its totient is φ = 53335040.

The previous prime is 220012297. The next prime is 220012337. The reversal of 220012320 is 23210022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220012296 and 220012305.

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 15 ways as a sum of consecutive naturals, for example, 15555 + ... + 26114.

It is an arithmetic number, because the mean of its divisors is an integer number (7875630).

Almost surely, 2220012320 is an apocalyptic number.

220012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012320 is an abundant number, since it is smaller than the sum of its proper divisors (536048160).

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

220012320 is a wasteful number, since it uses less digits than its factorization.

220012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41698 (or 41690 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220012320 is about 14832.8122754925. The cubic root of 220012320 is about 603.6923421828.

Adding to 220012320 its reverse (23210022), we get a palindrome (243222342).

The spelling of 220012320 in words is "two hundred twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 41669 83338 125007 166676 208345 250014 333352 416690 458359 500028 625035 666704 833380 916718 1000056 1250070 1333408 1375077 1666760 1833436 2000112 2291795 2500140 2750154 3333520 3666872 4000224 4583590 5000280 5500308 6667040 6875385 7333744 9167180 10000560 11000616 13750770 14667488 18334360 20001120 22001232 27501540 36668720 44002464 55003080 73337440 110006160 220012320