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2063217400 = 2352314371109
BaseRepresentation
bin111101011111010…
…0011001011111000
312022210022022012021
41322332203023320
513211140424100
6540421524224
7102062026036
oct17276431370
95283268167
102063217400
119696a5852
12496b73674
1326b5ac8ca
14158033556
15c11eda1a
hex7afa32f8

2063217400 has 192 divisors, whose sum is σ = 5185382400. Its totient is φ = 762048000.

The previous prime is 2063217367. The next prime is 2063217419. The reversal of 2063217400 is 47123602.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18928546 + ... + 18928654.

It is an arithmetic number, because the mean of its divisors is an integer number (27007200).

Almost surely, 22063217400 is an apocalyptic number.

2063217400 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 2063217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592691200).

2063217400 is an abundant number, since it is smaller than the sum of its proper divisors (3122165000).

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

2063217400 is a wasteful number, since it uses less digits than its factorization.

2063217400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2063217400 is about 45422.6529388146. The cubic root of 2063217400 is about 1273.0584109613.

The spelling of 2063217400 in words is "two billion, sixty-three million, two hundred seventeen thousand, four hundred".