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6700000212 = 2234472231973
BaseRepresentation
bin1100011110101100…
…11110001111010100
3122021221020021110000
412033112132033110
5102210200001322
63024500131300
7325014030213
oct61726361724
918257207400
106700000212
112928a80364
12136b996b30
1382a108289
14477b8707a
1529330a3ac
hex18f59e3d4

6700000212 has 120 divisors (see below), whose sum is σ = 17977107456. Its totient is φ = 2174910912.

The previous prime is 6700000193. The next prime is 6700000213. The reversal of 6700000212 is 2120000076.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700000213) 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 39 ways as a sum of consecutive naturals, for example, 3394858 + ... + 3396830.

Almost surely, 26700000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6700000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988553728).

6700000212 is an abundant number, since it is smaller than the sum of its proper divisors (11277107244).

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

6700000212 is a wasteful number, since it uses less digits than its factorization.

6700000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6700000212 is about 81853.5290137206. The cubic root of 6700000212 is about 1885.2036509047.

Adding to 6700000212 its reverse (2120000076), we get a palindrome (8820000288).

The spelling of 6700000212 in words is "six billion, seven hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 223 282 324 423 446 564 669 846 892 1269 1338 1692 1973 2007 2538 2676 3807 3946 4014 5076 5919 6021 7614 7892 8028 10481 11838 12042 15228 17757 18063 20962 23676 24084 31443 35514 36126 41924 53271 62886 71028 72252 92731 94329 106542 125772 159813 185462 188658 213084 278193 282987 319626 370924 377316 439979 556386 565974 639252 834579 848961 879958 1112772 1131948 1319937 1669158 1697922 1759916 2503737 2639874 3338316 3395844 3959811 5007474 5279748 7511211 7919622 10014948 11879433 15022422 15839244 20679013 23758866 30044844 35638299 41358026 47517732 62037039 71276598 82716052 124074078 142553196 186111117 248148156 372222234 558333351 744444468 1116666702 1675000053 2233333404 3350000106 6700000212