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2102255232 = 27373111451
BaseRepresentation
bin111110101001101…
…1101111010000000
312102111202122000220
41331103131322000
513301134131412
6544334343040
7103044606000
oct17523357200
95374678026
102102255232
11989739520
124a805aa80
132766ca50c
1415d2b6000
15c486068c
hex7d4dde80

2102255232 has 256 divisors, whose sum is σ = 7108992000. Its totient is φ = 545664000.

The previous prime is 2102255231. The next prime is 2102255237. The reversal of 2102255232 is 2325522012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2102255231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448107 + ... + 1449557.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 22102255232 is an apocalyptic number.

2102255232 is a gapful number since it is divisible by the number (22) 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 2102255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554496000).

2102255232 is an abundant number, since it is smaller than the sum of its proper divisors (5006736768).

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

2102255232 is a wasteful number, since it uses less digits than its factorization.

2102255232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2102255232 is about 45850.3569451755. The cubic root of 2102255232 is about 1281.0374141779.

Adding to 2102255232 its reverse (2325522012), we get a palindrome (4427777244).

The spelling of 2102255232 in words is "two billion, one hundred two million, two hundred fifty-five thousand, two hundred thirty-two".