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2231000340 = 2235713671427
BaseRepresentation
bin1000010011111010…
…0101110100010100
312202111000120010020
42010332211310110
514032114002330
61005214025140
7106200122112
oct20476456424
95674016106
102231000340
11a45383638
125231a81b0
13297296a5a
1417242aab2
15d0ce2210
hex84fa5d14

2231000340 has 96 divisors (see below), whose sum is σ = 6356496384. Its totient is φ = 584545920.

The previous prime is 2231000329. The next prime is 2231000341. The reversal of 2231000340 is 430001322.

It is a super-3 number, since 3×22310003403 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231000341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562707 + ... + 1564133.

It is an arithmetic number, because the mean of its divisors is an integer number (66213504).

Almost surely, 22231000340 is an apocalyptic number.

2231000340 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 2231000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178248192).

2231000340 is an abundant number, since it is smaller than the sum of its proper divisors (4125496044).

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

2231000340 is a wasteful number, since it uses less digits than its factorization.

2231000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2231000340 is about 47233.4663136213. The cubic root of 2231000340 is about 1306.6718813423.

Adding to 2231000340 its reverse (430001322), we get a palindrome (2661001662).

The spelling of 2231000340 in words is "two billion, two hundred thirty-one million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 367 426 710 734 852 1065 1101 1420 1427 1468 1835 2130 2202 2854 3670 4260 4281 4404 5505 5708 7135 7340 8562 11010 14270 17124 21405 22020 26057 28540 42810 52114 78171 85620 101317 104228 130285 156342 202634 260570 303951 312684 390855 405268 506585 521140 523709 607902 781710 1013170 1047418 1215804 1519755 1563420 1571127 2026340 2094836 2618545 3039510 3142254 5237090 6079020 6284508 7855635 10474180 15711270 31422540 37183339 74366678 111550017 148733356 185916695 223100034 371833390 446200068 557750085 743666780 1115500170 2231000340