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2310023220 = 223537228123
BaseRepresentation
bin1000100110110000…
…0010100000110100
312221222201100010120
42021230002200310
514212331220340
61021115451540
7111146605401
oct21154024064
95858640116
102310023220
11a85a476aa
12545756bb0
132aa77445b
1417cb1b2a8
15d7c014d0
hex89b02834

2310023220 has 72 divisors (see below), whose sum is σ = 6647838624. Its totient is φ = 599336064.

The previous prime is 2310023203. The next prime is 2310023237. The reversal of 2310023220 is 223200132.

It is an interprime number because it is at equal distance from previous prime (2310023203) and next prime (2310023237).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2310023220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68079 + ... + 96201.

It is an arithmetic number, because the mean of its divisors is an integer number (92331092).

Almost surely, 22310023220 is an apocalyptic number.

2310023220 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 2310023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323919312).

2310023220 is an abundant number, since it is smaller than the sum of its proper divisors (4337815404).

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

2310023220 is a wasteful number, since it uses less digits than its factorization.

2310023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28209 (or 28170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2310023220 is about 48062.7009228570. The cubic root of 2310023220 is about 1321.9208375478.

Adding to 2310023220 its reverse (223200132), we get a palindrome (2533223352).

The spelling of 2310023220 in words is "two billion, three hundred ten million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 2220 2738 4107 5476 6845 8214 13690 16428 20535 27380 28123 41070 56246 82140 84369 112492 140615 168738 281230 337476 421845 562460 843690 1040551 1687380 2081102 3121653 4162204 5202755 6243306 10405510 12486612 15608265 20811020 31216530 38500387 62433060 77000774 115501161 154001548 192501935 231002322 385003870 462004644 577505805 770007740 1155011610 2310023220