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1222131681 = 324322712
BaseRepresentation
bin100100011011000…
…0011111111100001
310011011122201111100
41020312003333201
510000331203211
6321134305013
742166643061
oct11066037741
93134581440
101222131681
11577952691
122a1358169
13166272c54
14b84513a1
157245d156
hex48d83fe1

1222131681 has 27 divisors (see below), whose sum is σ = 1814003217. Its totient is φ = 792870120.

The previous prime is 1222131679. The next prime is 1222131689. The reversal of 1222131681 is 1861312221.

The square root of 1222131681 is 34959.

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

It is not a de Polignac number, because 1222131681 - 21 = 1222131679 is a prime.

It is a super-2 number, since 2×12221316812 = 2987211691407771522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1222131689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4509576 + ... + 4509846.

Almost surely, 21222131681 is an apocalyptic number.

1222131681 is the 34959-th square number.

1222131681 is the 17480-th centered octagonal number.

It is an amenable number.

1222131681 is a deficient number, since it is larger than the sum of its proper divisors (591871536).

1222131681 is an frugal number, since it uses more digits than its factorization.

1222131681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The cubic root of 1222131681 is about 1069.1517080668.

The spelling of 1222131681 in words is "one billion, two hundred twenty-two million, one hundred thirty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 43 129 271 387 813 1849 2439 5547 11653 16641 34959 73441 104877 220323 501079 660969 1503237 3157963 4509711 9473889 28421667 135792409 407377227 1222131681