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2200014312 = 233536312741
BaseRepresentation
bin1000001100100001…
…1000110111101000
312200022201022021120
42003020120313220
514001200424222
61002145535240
7105342545616
oct20310306750
95608638246
102200014312
11a2993a351
12514944520
13290a38022
1416c2826b6
15cd22115c
hex83218de8

2200014312 has 64 divisors (see below), whose sum is σ = 5614738560. Its totient is φ = 718099200.

The previous prime is 2200014301. The next prime is 2200014317. The reversal of 2200014312 is 2134100022.

It is a junction number, because it is equal to n+sod(n) for n = 2200014291 and 2200014300.

It is not an unprimeable number, because it can be changed into a prime (2200014317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801262 + ... + 804002.

It is an arithmetic number, because the mean of its divisors is an integer number (87730290).

Almost surely, 22200014312 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 2200014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807369280).

2200014312 is an abundant number, since it is smaller than the sum of its proper divisors (3414724248).

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

2200014312 is a wasteful number, since it uses less digits than its factorization.

2200014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2200014312 is about 46904.3101644188. The cubic root of 2200014312 is about 1300.5942671581.

Adding to 2200014312 its reverse (2134100022), we get a palindrome (4334114334).

The spelling of 2200014312 in words is "two billion, two hundred million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 631 636 1262 1272 1893 2524 2741 3786 5048 5482 7572 8223 10964 15144 16446 21928 32892 33443 65784 66886 100329 133772 145273 200658 267544 290546 401316 435819 581092 802632 871638 1162184 1729571 1743276 3459142 3486552 5188713 6918284 10377426 13836568 20754852 41509704 91667263 183334526 275001789 366669052 550003578 733338104 1100007156 2200014312