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2231143620460 = 225172556369389
BaseRepresentation
bin100000011101111010100…
…001011101111101101100
321220021222020100101011221
4200131322201131331230
5243023340231323320
64424550114553124
7320123550601246
oct40357241357554
97807866311157
102231143620460
1179024a453a97
123004b15987a4
1313251bb5ca21
1479db8c31096
153d08567b3aa
hex2077a85df6c

2231143620460 has 72 divisors (see below), whose sum is σ = 4978192368240. Its totient is φ = 839796857856.

The previous prime is 2231143620401. The next prime is 2231143620553. The reversal of 2231143620460 is 640263411322.

It is a super-3 number, since 3×22311436204603 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32119446 + ... + 32188834.

It is an arithmetic number, because the mean of its divisors is an integer number (69141560670).

Almost surely, 22231143620460 is an apocalyptic number.

2231143620460 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 2231143620460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489096184120).

2231143620460 is an abundant number, since it is smaller than the sum of its proper divisors (2747048747780).

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

2231143620460 is a wasteful number, since it uses less digits than its factorization.

2231143620460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74995 (or 74976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 2231143620460 in words is "two trillion, two hundred thirty-one billion, one hundred forty-three million, six hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5563 5780 11126 22252 27815 55630 69389 94571 111260 138778 189142 277556 346945 378284 472855 693890 945710 1179613 1387780 1607707 1891420 2359226 3215414 4718452 5898065 6430828 8038535 11796130 16077070 20053421 23592260 32154140 40106842 80213684 100267105 200534210 386011007 401068420 772022014 1544044028 1930055035 3860110070 6562187119 7720220140 13124374238 26248748476 32810935595 65621871190 111557181023 131243742380 223114362046 446228724092 557785905115 1115571810230 2231143620460