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2231712081 = 342921812
BaseRepresentation
bin1000010100000101…
…0011100101010001
312202112100201110000
42011001103211101
514032304241311
61005241200213
7106206145134
oct20501234521
95675321400
102231712081
11a4581a355
12523490069
132974859c1
1417257421b
15d0dd3056
hex85053951

2231712081 has 45 divisors (see below), whose sum is σ = 3471895713. Its totient is φ = 1428567840.

The previous prime is 2231712079. The next prime is 2231712097. The reversal of 2231712081 is 1802171322.

The square root of 2231712081 is 47241.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 829958481 + 1401753600 = 28809^2 + 37440^2 .

It is not a de Polignac number, because 2231712081 - 21 = 2231712079 is a prime.

It is a super-3 number, since 3×22317120813 (a number of 29 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 (27).

It is not an unprimeable number, because it can be changed into a prime (2231712031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12329811 + ... + 12329991.

Almost surely, 22231712081 is an apocalyptic number.

2231712081 is the 47241-st square number.

2231712081 is the 23621-st centered octagonal number.

It is an amenable number.

2231712081 is a deficient number, since it is larger than the sum of its proper divisors (1240183632).

2231712081 is an frugal number, since it uses more digits than its factorization.

2231712081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 2231712081 is about 1306.8108194760.

The spelling of 2231712081 in words is "two billion, two hundred thirty-one million, seven hundred twelve thousand, eighty-one".

Divisors: 1 3 9 27 29 81 87 181 261 543 783 841 1629 2349 2523 4887 5249 7569 14661 15747 22707 32761 47241 68121 98283 141723 152221 294849 425169 456663 884547 950069 1369989 2653641 2850207 4109967 8550621 12329901 25651863 27552001 76955589 82656003 247968009 743904027 2231712081