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2214801966 = 231328394897
BaseRepresentation
bin1000010000000011…
…0011001000101110
312201100112121010110
42010000303020232
514013442130331
61003434520450
7105612335406
oct20400631056
95640477113
102214801966
11a3721a553
12519896126
13293b14b10
14170211806
15ce692946
hex8403322e

2214801966 has 16 divisors (see below), whose sum is σ = 4770342864. Its totient is φ = 681477504.

The previous prime is 2214801961. The next prime is 2214801991. The reversal of 2214801966 is 6691084122.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214801961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14197371 + ... + 14197526.

It is an arithmetic number, because the mean of its divisors is an integer number (298146429).

Almost surely, 22214801966 is an apocalyptic number.

2214801966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2214801966 is an abundant number, since it is smaller than the sum of its proper divisors (2555540898).

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

2214801966 is a wasteful number, since it uses less digits than its factorization.

2214801966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28394915.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2214801966 is about 47061.6825666061. The cubic root of 2214801966 is about 1303.5017946847.

It can be divided in two parts, 221480 and 1966, that added together give a triangular number (223446 = T668).

The spelling of 2214801966 in words is "two billion, two hundred fourteen million, eight hundred one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 28394897 56789794 85184691 170369382 369133661 738267322 1107400983 2214801966