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2312220 = 223589433
BaseRepresentation
bin1000110100100000011100
311100110202210
420310200130
51042442340
6121320420
725440111
oct10644034
94313683
102312220
11133a229
12936110
1362c5a1
14442908
1530a180
hex23481c

2312220 has 48 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 608256.

The previous prime is 2312209. The next prime is 2312249. The reversal of 2312220 is 222132.

It is a super-2 number, since 2×23122202 = 10692722656800, which contains 22 as substring.

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 = 2312196 and 2312205.

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, 5124 + ... + 5556.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

22312220 is an apocalyptic number.

2312220 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 2312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2312220 is an abundant number, since it is smaller than the sum of its proper divisors (4249860).

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

2312220 is a wasteful number, since it uses less digits than its factorization.

2312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

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

The square root of 2312220 is about 1520.5985663547. The cubic root of 2312220 is about 132.2339743756.

Adding to 2312220 its reverse (222132), we get a palindrome (2534352).

The spelling of 2312220 in words is "two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 433 445 534 866 890 1068 1299 1335 1732 1780 2165 2598 2670 4330 5196 5340 6495 8660 12990 25980 38537 77074 115611 154148 192685 231222 385370 462444 578055 770740 1156110 2312220