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2231231320 = 2355967103137
BaseRepresentation
bin1000010011111101…
…1110001101011000
312202111110021222001
42010333132031120
514032143400240
61005223010344
7106202103403
oct20477361530
95674407861
102231231320
11a4552112a
125232999b4
13297347c26
1417248ad3a
15d0d3a89a
hex84fde358

2231231320 has 128 divisors (see below), whose sum is σ = 5270054400. Its totient is φ = 849632256.

The previous prime is 2231231309. The next prime is 2231231339. The reversal of 2231231320 is 231321322.

It is a super-3 number, since 3×22312313203 (a number of 29 digits) contains 333 as substring.

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, 16286292 + ... + 16286428.

It is an arithmetic number, because the mean of its divisors is an integer number (41172300).

Almost surely, 22231231320 is an apocalyptic number.

2231231320 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 2231231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635027200).

2231231320 is an abundant number, since it is smaller than the sum of its proper divisors (3038823080).

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

2231231320 is a wasteful number, since it uses less digits than its factorization.

2231231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2231231320 is about 47235.9113387262. The cubic root of 2231231320 is about 1306.7169739181.

Adding to 2231231320 its reverse (231321322), we get a palindrome (2462552642).

The spelling of 2231231320 in words is "two billion, two hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 67 103 118 134 137 206 236 268 274 295 335 412 472 515 536 548 590 670 685 824 1030 1096 1180 1340 1370 2060 2360 2680 2740 3953 4120 5480 6077 6901 7906 8083 9179 12154 13802 14111 15812 16166 18358 19765 24308 27604 28222 30385 31624 32332 34505 36716 39530 40415 45895 48616 55208 56444 60770 64664 69010 70555 73432 79060 80830 91790 112888 121540 138020 141110 158120 161660 183580 243080 276040 282220 323320 367160 407159 541561 564440 814318 832549 945437 1083122 1628636 1665098 1890874 2035795 2166244 2707805 3257272 3330196 3781748 4071590 4162745 4332488 4727185 5415610 6660392 7563496 8143180 8325490 9454370 10831220 16286360 16650980 18908740 21662440 33301960 37817480 55780783 111561566 223123132 278903915 446246264 557807830 1115615660 2231231320