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320232220 = 225711239041
BaseRepresentation
bin10011000101100…
…101101100011100
3211022120111000121
4103011211230130
51123434412340
651435404324
710635633430
oct2305455434
9738514017
10320232220
11154843230
128b2b36a4
1351462b29
143075c9c0
151d1a894a
hex13165b1c

320232220 has 96 divisors (see below), whose sum is σ = 874976256. Its totient is φ = 95462400.

The previous prime is 320232173. The next prime is 320232229. The reversal of 320232220 is 22232023.

It is a super-2 number, since 2×3202322202 = 205097349452256800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320232194 and 320232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320232229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30900 + ... + 39940.

It is an arithmetic number, because the mean of its divisors is an integer number (9114336).

Almost surely, 2320232220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437488128).

320232220 is an abundant number, since it is smaller than the sum of its proper divisors (554744036).

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

320232220 is a wasteful number, since it uses less digits than its factorization.

320232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320232220 is about 17895.0333891837. The cubic root of 320232220 is about 684.1557930867.

Adding to 320232220 its reverse (22232023), we get a palindrome (342464243).

It can be divided in two parts, 32023 and 2220, that added together give a palindrome (34243).

The spelling of 320232220 in words is "three hundred twenty million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 9041 17710 18082 35420 36164 45205 63287 90410 99451 126574 180820 198902 207943 253148 316435 397804 415886 497255 632870 696157 831772 994510 1039715 1265740 1392314 1455601 1989020 2079430 2287373 2784628 2911202 3480785 4158860 4574746 5822404 6961570 7278005 9149492 11436865 13923140 14556010 16011611 22873730 29112020 32023222 45747460 64046444 80058055 160116110 320232220