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2311223220 = 223451678543
BaseRepresentation
bin1000100111000010…
…0111011110110100
312222001222022020000
42021300213132310
514213133120340
61021201311300
7111163034055
oct21160473664
95861868200
102311223220
11a86697239
12546035530
132aaaa4707
1417cd5072c
15d7d8bd30
hex89c277b4

2311223220 has 120 divisors (see below), whose sum is σ = 7294662144. Its totient is φ = 612563904.

The previous prime is 2311223203. The next prime is 2311223231. The reversal of 2311223220 is 223221132.

2311223220 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2311223193 and 2311223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266269 + ... + 274811.

Almost surely, 22311223220 is an apocalyptic number.

2311223220 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 2311223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647331072).

2311223220 is an abundant number, since it is smaller than the sum of its proper divisors (4983438924).

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

2311223220 is a wasteful number, since it uses less digits than its factorization.

2311223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2311223220 is about 48075.1829949715. The cubic root of 2311223220 is about 1322.1496996632.

Adding to 2311223220 its reverse (223221132), we get a palindrome (2534444352).

The spelling of 2311223220 in words is "two billion, three hundred eleven million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 167 180 270 324 334 405 501 540 668 810 835 1002 1503 1620 1670 2004 2505 3006 3340 4509 5010 6012 7515 8543 9018 10020 13527 15030 17086 18036 22545 25629 27054 30060 34172 42715 45090 51258 54108 67635 76887 85430 90180 102516 128145 135270 153774 170860 230661 256290 270540 307548 384435 461322 512580 691983 768870 922644 1153305 1383966 1426681 1537740 2306610 2767932 2853362 3459915 4280043 4613220 5706724 6919830 7133405 8560086 12840129 13839660 14266810 17120172 21400215 25680258 28533620 38520387 42800430 51360516 64200645 77040774 85600860 115561161 128401290 154081548 192601935 231122322 256802580 385203870 462244644 577805805 770407740 1155611610 2311223220