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2063233920 = 273511283107
BaseRepresentation
bin111101011111010…
…0111001110000000
312022210100010212010
41322332213032000
513211141441140
6540422132520
7102062125146
oct17276471600
95283303763
102063233920
11969707200
12496b81140
1326b5b7297
14158039596
15c1203880
hex7afa7380

2063233920 has 384 divisors, whose sum is σ = 7384245120. Its totient is φ = 489533440.

The previous prime is 2063233903. The next prime is 2063233937. The reversal of 2063233920 is 293323602.

It is an interprime number because it is at equal distance from previous prime (2063233903) and next prime (2063233937).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19282507 + ... + 19282613.

It is an arithmetic number, because the mean of its divisors is an integer number (19229805).

Almost surely, 22063233920 is an apocalyptic number.

2063233920 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 2063233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692122560).

2063233920 is an abundant number, since it is smaller than the sum of its proper divisors (5321011200).

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

2063233920 is a wasteful number, since it uses less digits than its factorization.

2063233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 2063233920 is about 45422.8347860413. The cubic root of 2063233920 is about 1273.0618087077.

The spelling of 2063233920 in words is "two billion, sixty-three million, two hundred thirty-three thousand, nine hundred twenty".