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2331135420 = 2235293736209
BaseRepresentation
bin1000101011110010…
…0100110110111100
320000110102221121220
42022330210312330
514233232313140
61023152153340
7111524216115
oct21274446674
96013387556
102331135420
11a969575a9
12550838850
132b1c56b93
1418185520c
15d99c1bd0
hex8af24dbc

2331135420 has 96 divisors (see below), whose sum is σ = 6934939200. Its totient is φ = 583962624.

The previous prime is 2331135407. The next prime is 2331135431. The reversal of 2331135420 is 245311332.

It is a congruent number.

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, 46276 + ... + 82484.

It is an arithmetic number, because the mean of its divisors is an integer number (72238950).

Almost surely, 22331135420 is an apocalyptic number.

2331135420 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 2331135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467469600).

2331135420 is an abundant number, since it is smaller than the sum of its proper divisors (4603803780).

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

2331135420 is a wasteful number, since it uses less digits than its factorization.

2331135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36287 (or 36285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2331135420 is about 48281.8332294871. The cubic root of 2331135420 is about 1325.9358135680.

Adding to 2331135420 its reverse (245311332), we get a palindrome (2576446752).

The spelling of 2331135420 in words is "two billion, three hundred thirty-one million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 2146 2220 3219 4292 5365 6438 10730 12876 16095 21460 32190 36209 64380 72418 108627 144836 181045 217254 362090 434508 543135 724180 1050061 1086270 1339733 2100122 2172540 2679466 3150183 4019199 4200244 5250305 5358932 6300366 6698665 8038398 10500610 12600732 13397330 15750915 16076796 20095995 21001220 26794660 31501830 38852257 40191990 63003660 77704514 80383980 116556771 155409028 194261285 233113542 388522570 466227084 582783855 777045140 1165567710 2331135420