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2213033340 = 2235710495023
BaseRepresentation
bin1000001111101000…
…0011010101111100
312201020012202000210
42003322003111330
514013014031330
61003332552420
7105561321150
oct20372032574
95636182023
102213033340
11a36221781
12519182710
13293645aab
1416dcb1060
15ce4438b0
hex83e8357c

2213033340 has 96 divisors (see below), whose sum is σ = 7089868800. Its totient is φ = 505253376.

The previous prime is 2213033323. The next prime is 2213033357. The reversal of 2213033340 is 433303122.

2213033340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2213033323) and next prime (2213033357).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438069 + ... + 443091.

It is an arithmetic number, because the mean of its divisors is an integer number (73852800).

Almost surely, 22213033340 is an apocalyptic number.

2213033340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544934400).

2213033340 is an abundant number, since it is smaller than the sum of its proper divisors (4876835460).

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

2213033340 is a wasteful number, since it uses less digits than its factorization.

2213033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2213033340 is about 47042.8883041847. Note that the first 3 decimals coincide. The cubic root of 2213033340 is about 1303.1547326400.

Adding to 2213033340 its reverse (433303122), we get a palindrome (2646336462).

The spelling of 2213033340 in words is "two billion, two hundred thirteen million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1049 2098 3147 4196 5023 5245 6294 7343 10046 10490 12588 14686 15069 15735 20092 20980 22029 25115 29372 30138 31470 35161 36715 44058 50230 60276 62940 70322 73430 75345 88116 100460 105483 110145 140644 146860 150690 175805 210966 220290 301380 351610 421932 440580 527415 703220 1054830 2109660 5269127 10538254 15807381 21076508 26345635 31614762 36883889 52691270 63229524 73767778 79036905 105382540 110651667 147535556 158073810 184419445 221303334 316147620 368838890 442606668 553258335 737677780 1106516670 2213033340