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2213340012 = 2233131798807
BaseRepresentation
bin1000001111101100…
…1110001101101100
312201020210022201000
42003323032031230
514013103340022
61003343320300
7105564036222
oct20373161554
95636708630
102213340012
11a36411124
125192b0090
13293722560
1416dd50b12
15ce4a46ac
hex83ece36c

2213340012 has 96 divisors (see below), whose sum is σ = 6214924800. Its totient is φ = 677146176.

The previous prime is 2213339987. The next prime is 2213340061. The reversal of 2213340012 is 2100433122.

2213340012 is a `hidden beast` number, since 221 + 33 + 400 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246913 + ... + 255719.

It is an arithmetic number, because the mean of its divisors is an integer number (64738800).

Almost surely, 22213340012 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 2213340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107462400).

2213340012 is an abundant number, since it is smaller than the sum of its proper divisors (4001584788).

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

2213340012 is a wasteful number, since it uses less digits than its factorization.

2213340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213340012 is about 47046.1476850124. The cubic root of 2213340012 is about 1303.2149249263.

Adding to 2213340012 its reverse (2100433122), we get a palindrome (4313773134).

It can be divided in two parts, 2213 and 340012, that added together give a square (342225 = 5852).

The spelling of 2213340012 in words is "two billion, two hundred thirteen million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 179 234 351 358 468 537 702 716 1074 1404 1611 2148 2327 3222 4654 4833 6444 6981 8807 9308 9666 13962 17614 19332 20943 26421 27924 35228 41886 52842 62829 79263 83772 105684 114491 125658 158526 228982 237789 251316 317052 343473 457964 475578 686946 951156 1030419 1373892 1576453 2060838 3091257 3152906 4121676 4729359 6182514 6305812 9458718 12365028 14188077 18917436 20493889 28376154 40987778 42564231 56752308 61481667 81975556 85128462 122963334 170256924 184445001 245926668 368890002 553335003 737780004 1106670006 2213340012