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2231540020 = 2251730721379
BaseRepresentation
bin1000010100000010…
…1001100100110100
312202112000222102101
42011000221210310
514032233240040
61005233351444
7106204530403
oct20500514464
95675028371
102231540020
11a45712056
12523408584
132974255a8
1417252b63a
15d0d9c09a
hex85029934

2231540020 has 48 divisors (see below), whose sum is σ = 4978290240. Its totient is φ = 837333504.

The previous prime is 2231539963. The next prime is 2231540023. The reversal of 2231540020 is 200451322.

It is a super-3 number, since 3×22315400203 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231540020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231540023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93691 + ... + 115069.

It is an arithmetic number, because the mean of its divisors is an integer number (103714380).

Almost surely, 22231540020 is an apocalyptic number.

2231540020 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 2231540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489145120).

2231540020 is an abundant number, since it is smaller than the sum of its proper divisors (2746750220).

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

2231540020 is a wasteful number, since it uses less digits than its factorization.

2231540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712 (or 21710 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2231540020 is about 47239.1788666992. The cubic root of 2231540020 is about 1306.7772343558. Note that the first 3 decimals are identical.

Adding to 2231540020 its reverse (200451322), we get a palindrome (2431991342).

The spelling of 2231540020 in words is "two billion, two hundred thirty-one million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 614 1228 1535 3070 5219 6140 10438 20876 21379 26095 42758 52190 85516 104380 106895 213790 363443 427580 726886 1453772 1817215 3634430 6563353 7268860 13126706 26253412 32816765 65633530 111577001 131267060 223154002 446308004 557885005 1115770010 2231540020