Search a number
-
+
2012211240 = 2335133141609
BaseRepresentation
bin111011111101111…
…1110100000101000
312012020022220220020
41313323332200220
513110111224430
6531400400440
7100602341034
oct16773764050
95166286806
102012211240
119429280a6
12481a76120
13260b61550
141513571c4
15bb9c5b10
hex77efe828

2012211240 has 128 divisors (see below), whose sum is σ = 6710860800. Its totient is φ = 479324160.

The previous prime is 2012211233. The next prime is 2012211263. The reversal of 2012211240 is 421122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27556 + ... + 69164.

It is an arithmetic number, because the mean of its divisors is an integer number (52428600).

Almost surely, 22012211240 is an apocalyptic number.

2012211240 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 2012211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355430400).

2012211240 is an abundant number, since it is smaller than the sum of its proper divisors (4698649560).

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

2012211240 is a wasteful number, since it uses less digits than its factorization.

2012211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41667 (or 41663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2012211240 is about 44857.6776037280. The cubic root of 2012211240 is about 1262.4800485688.

Adding to 2012211240 its reverse (421122102), we get a palindrome (2433333342).

The spelling of 2012211240 in words is "two billion, twelve million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 41609 48360 83218 124827 166436 208045 249654 332872 416090 499308 540917 624135 832180 998616 1081834 1248270 1289879 1622751 1664360 2163668 2496540 2579758 2704585 3245502 3869637 4327336 4993080 5159516 5409170 6449395 6491004 7739274 8113755 10319032 10818340 12898790 12982008 15478548 16227510 16768427 19348185 21636680 25797580 30957096 32455020 33536854 38696370 50305281 51595160 64910040 67073708 77392740 83842135 100610562 134147416 154785480 167684270 201221124 251526405 335368540 402442248 503052810 670737080 1006105620 2012211240