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2006694200 = 235271433353
BaseRepresentation
bin111011110011011…
…1011100100111000
312011211221121221102
41313212323210320
513102203203300
6531042230532
7100504422260
oct16746734470
95154847842
102006694200
1193a7aa065
12480055448
1325c97c324
1415071c7a0
15bb2860d5
hex779bb938

2006694200 has 48 divisors (see below), whose sum is σ = 5332076880. Its totient is φ = 688008960.

The previous prime is 2006694197. The next prime is 2006694203. The reversal of 2006694200 is 24966002.

It is an interprime number because it is at equal distance from previous prime (2006694197) and next prime (2006694203).

It is a super-2 number, since 2×20066942002 = 8053643224627280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006694203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 715277 + ... + 718076.

It is an arithmetic number, because the mean of its divisors is an integer number (111084935).

Almost surely, 22006694200 is an apocalyptic number.

2006694200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006694200 is an abundant number, since it is smaller than the sum of its proper divisors (3325382680).

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

2006694200 is a wasteful number, since it uses less digits than its factorization.

2006694200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433376 (or 1433367 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2006694200 is about 44796.1404587493. The cubic root of 2006694200 is about 1261.3251783874.

The spelling of 2006694200 in words is "two billion, six million, six hundred ninety-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1433353 2866706 5733412 7166765 10033471 11466824 14333530 20066942 28667060 35833825 40133884 50167355 57334120 71667650 80267768 100334710 143335300 200669420 250836775 286670600 401338840 501673550 1003347100 2006694200