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2322412220 = 2252916723977
BaseRepresentation
bin1000101001101101…
…0011001010111100
312222212000202122102
42022123103022330
514224014142340
61022241204232
7111360115052
oct21233231274
95885022572
102322412220
11a91a39747
12549930678
132b01c151b
141806241d2
15d8d4c215
hex8a6d32bc

2322412220 has 48 divisors (see below), whose sum is σ = 5075663040. Its totient is φ = 891523584.

The previous prime is 2322412193. The next prime is 2322412231. The reversal of 2322412220 is 222142232.

2322412220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2322412192 and 2322412201.

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, 84872 + ... + 108848.

It is an arithmetic number, because the mean of its divisors is an integer number (105742980).

Almost surely, 22322412220 is an apocalyptic number.

2322412220 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 2322412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537831520).

2322412220 is an abundant number, since it is smaller than the sum of its proper divisors (2753250820).

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

2322412220 is a wasteful number, since it uses less digits than its factorization.

2322412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24182 (or 24180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2322412220 is about 48191.4123055135. The cubic root of 2322412220 is about 1324.2798450403.

Adding to 2322412220 its reverse (222142232), we get a palindrome (2544554452).

The spelling of 2322412220 in words is "two billion, three hundred twenty-two million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 167 290 334 580 668 835 1670 3340 4843 9686 19372 23977 24215 47954 48430 95908 96860 119885 239770 479540 695333 1390666 2781332 3476665 4004159 6953330 8008318 13906660 16016636 20020795 40041590 80083180 116120611 232241222 464482444 580603055 1161206110 2322412220