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2082235650 = 23521117193907
BaseRepresentation
bin111110000011100…
…0110010100000010
312101010002112022220
41330013012110002
513231023020100
6542341311510
7102412465605
oct17407062402
95333075286
102082235650
11979405510
124a1405596
1327250b201
1415a78433c
15c2c08aa0
hex7c1c6502

2082235650 has 192 divisors, whose sum is σ = 6280312320. Its totient is φ = 449971200.

The previous prime is 2082235601. The next prime is 2082235651. The reversal of 2082235650 is 565322802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2082235651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530997 + ... + 534903.

It is an arithmetic number, because the mean of its divisors is an integer number (32709960).

Almost surely, 22082235650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082235650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140156160).

2082235650 is an abundant number, since it is smaller than the sum of its proper divisors (4198076670).

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

2082235650 is a wasteful number, since it uses less digits than its factorization.

2082235650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2082235650 is about 45631.5203559995. The cubic root of 2082235650 is about 1276.9580372243.

It can be divided in two parts, 2082 and 235650, that added together give a palindrome (237732).

The spelling of 2082235650 in words is "two billion, eighty-two million, two hundred thirty-five thousand, six hundred fifty".