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2012203440 = 24325131791201
BaseRepresentation
bin111011111101111…
…1100100110110000
312012020022112012100
41313323330212300
513110111002230
6531400300400
7100602306222
oct16773744660
95166275170
102012203440
11942922255
12481a71700
13260b5ab30
14151354412
15bb9c3660
hex77efc9b0

2012203440 has 240 divisors, whose sum is σ = 7324218720. Its totient is φ = 492134400.

The previous prime is 2012203439. The next prime is 2012203441. The reversal of 2012203440 is 443022102.

2012203440 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2012203439) and next prime (2012203441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012203441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1674840 + ... + 1676040.

It is an arithmetic number, because the mean of its divisors is an integer number (30517578).

Almost surely, 22012203440 is an apocalyptic number.

2012203440 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 2012203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662109360).

2012203440 is an abundant number, since it is smaller than the sum of its proper divisors (5312015280).

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

2012203440 is a wasteful number, since it uses less digits than its factorization.

2012203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2012203440 is about 44857.5906620050. The cubic root of 2012203440 is about 1262.4784173025.

Adding to 2012203440 its reverse (443022102), we get a palindrome (2455225542).

The spelling of 2012203440 in words is "two billion, twelve million, two hundred three thousand, four hundred forty".