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2200012002 = 234472831021
BaseRepresentation
bin1000001100100001…
…1000010011100010
312200022201012010000
42003020120103202
514001200341002
61002145520430
7105342536106
oct20310302342
95608635100
102200012002
11a29938641
12514943116
13290a36c66
1416c281906
15cd22061c
hex832184e2

2200012002 has 80 divisors (see below), whose sum is σ = 5057281152. Its totient is φ = 714497760.

The previous prime is 2200011977. The next prime is 2200012037. The reversal of 2200012002 is 2002100022.

It is a super-4 number, since 4×22000120024 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2154252 + ... + 2155272.

Almost surely, 22200012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528640576).

2200012002 is an abundant number, since it is smaller than the sum of its proper divisors (2857269150).

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

2200012002 is a wasteful number, since it uses less digits than its factorization.

2200012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2200012002 is about 46904.2855398097. The cubic root of 2200012002 is about 1300.5938119529.

Adding to 2200012002 its reverse (2002100022), we get a palindrome (4202112024).

The spelling of 2200012002 in words is "two billion, two hundred million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 283 423 566 846 849 1021 1269 1698 2042 2538 2547 3063 3807 5094 6126 7614 7641 9189 13301 15282 18378 22923 26602 27567 39903 45846 47987 55134 79806 82701 95974 119709 143961 165402 239418 287922 288943 359127 431883 577886 718254 863766 866829 1077381 1295649 1733658 2154762 2591298 2600487 3886947 5200974 7773894 7801461 13580321 15602922 23404383 27160642 40740963 46808766 81481926 122222889 244445778 366668667 733337334 1100006001 2200012002