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220131240 = 23357713691
BaseRepresentation
bin11010001111011…
…10111110101000
3120100012211021220
431013232332220
5422323144430
633502102040
75312041020
oct1507567650
9510184256
10220131240
1110329294a
126187a920
13367b5394
1421342a80
15144d4110
hexd1eefa8

220131240 has 128 divisors (see below), whose sum is σ = 765573120. Its totient is φ = 49593600.

The previous prime is 220131239. The next prime is 220131269. The reversal of 220131240 is 42131022.

220131240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57795 + ... + 61485.

It is an arithmetic number, because the mean of its divisors is an integer number (5981040).

Almost surely, 2220131240 is an apocalyptic number.

220131240 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 220131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382786560).

220131240 is an abundant number, since it is smaller than the sum of its proper divisors (545441880).

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

220131240 is a wasteful number, since it uses less digits than its factorization.

220131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3779 counting only the distinct ones).

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

The square root of 220131240 is about 14836.8204140914. The cubic root of 220131240 is about 603.8010908845.

Adding to 220131240 its reverse (42131022), we get a palindrome (262262262).

The spelling of 220131240 in words is "two hundred twenty million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3691 3976 4260 4970 5964 7382 7455 8520 9940 11073 11928 14764 14910 18455 19880 22146 25837 29528 29820 36910 44292 51674 55365 59640 73820 77511 88584 103348 110730 129185 147640 155022 206696 221460 258370 262061 310044 387555 442920 516740 524122 620088 775110 786183 1033480 1048244 1310305 1550220 1572366 1834427 2096488 2620610 3100440 3144732 3668854 3930915 5241220 5503281 6289464 7337708 7861830 9172135 10482440 11006562 14675416 15723660 18344270 22013124 27516405 31447320 36688540 44026248 55032810 73377080 110065620 220131240