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2231115840 = 2634586077
BaseRepresentation
bin1000010011111100…
…0010000001000000
312202111020102120000
42010333002001000
514032131201330
61005220320000
7106201112622
oct20477020100
95674212500
102231115840
11a45452398
12523243000
132973074b5
1417245ac12
15d0d16560
hex84fc2040

2231115840 has 140 divisors (see below), whose sum is σ = 7936563756. Its totient is φ = 594957312.

The previous prime is 2231115839. The next prime is 2231115847. The reversal of 2231115840 is 485111322.

It can be written as a sum of positive squares in 2 ways, for example, as 780420096 + 1450695744 = 27936^2 + 38088^2 .

It is a super-3 number, since 3×22311158403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2231115847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17119 + ... + 68958.

Almost surely, 22231115840 is an apocalyptic number.

2231115840 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 2231115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968281878).

2231115840 is an abundant number, since it is smaller than the sum of its proper divisors (5705447916).

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

2231115840 is an equidigital number, since it uses as much as digits as its factorization.

2231115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86106 (or 86087 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2231115840 is about 47234.6889478485. The cubic root of 2231115840 is about 1306.6944299714.

The spelling of 2231115840 in words is "two billion, two hundred thirty-one million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 86077 172154 258231 344308 430385 516462 688616 774693 860770 1032924 1291155 1377232 1549386 1721540 2065848 2324079 2582310 2754464 3098772 3443080 3873465 4131696 4648158 5164620 5508928 6197544 6886160 6972237 7746930 8263392 9296316 10329240 11620395 12395088 13772320 13944474 15493860 16526784 18592632 20658480 23240790 24790176 27544640 27888948 30987720 34861185 37185264 41316960 46481580 49580352 55777896 61975440 69722370 74370528 82633920 92963160 111555792 123950880 139444740 148741056 185926320 223111584 247901760 278889480 371852640 446223168 557778960 743705280 1115557920 2231115840