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2102122224 = 243214598071
BaseRepresentation
bin111110101001011…
…1101011011110000
312102111111212120200
41331102331123300
513301120402344
6544331435200
7103043513136
oct17522753360
95374455520
102102122224
119896585a4
124a7bb5b00
13276681b07
1415d27d756
15c4836069
hex7d4bd6f0

2102122224 has 30 divisors (see below), whose sum is σ = 5883023016. Its totient is φ = 700707360.

The previous prime is 2102122147. The next prime is 2102122229. The reversal of 2102122224 is 4222212012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102122197 and 2102122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7298892 + ... + 7299179.

Almost surely, 22102122224 is an apocalyptic number.

2102122224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2102122224 is an abundant number, since it is smaller than the sum of its proper divisors (3780900792).

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

2102122224 is a wasteful number, since it uses less digits than its factorization.

2102122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598085 (or 14598076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2102122224 is about 45848.9064646039. The cubic root of 2102122224 is about 1281.0103968720.

Adding to 2102122224 its reverse (4222212012), we get a palindrome (6324334236).

The spelling of 2102122224 in words is "two billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14598071 29196142 43794213 58392284 87588426 116784568 131382639 175176852 233569136 262765278 350353704 525530556 700707408 1051061112 2102122224