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1220873481 = 321926132
BaseRepresentation
bin100100011000101…
…0000110100001001
310011002021210120100
41020301100310021
510000020422411
6321051320013
742153152622
oct11061206411
93132253510
101220873481
11577173353
122a0a50009
13165c22359
14b8204a49
15722b0456
hex48c50d09

1220873481 has 27 divisors (see below), whose sum is σ = 1864224999. Its totient is φ = 769820112.

The previous prime is 1220873461. The next prime is 1220873483. The reversal of 1220873481 is 1843780221.

The square root of 1220873481 is 34941.

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

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 1216893456 = 1995^2 + 34884^2 .

It is not a de Polignac number, because 1220873481 - 221 = 1218776329 is a prime.

It is a super-2 number, since 2×12208734812 = 2981064113218114722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220873483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1991331 + ... + 1991943.

Almost surely, 21220873481 is an apocalyptic number.

1220873481 is the 34941-st square number.

1220873481 is the 17471-st centered octagonal number.

It is an amenable number.

1220873481 is a deficient number, since it is larger than the sum of its proper divisors (643351518).

1220873481 is an frugal number, since it uses more digits than its factorization.

1220873481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The cubic root of 1220873481 is about 1068.7846803561.

Multiplying 1220873481 by its sum of digits (36), we get a square (43951445316 = 2096462).

The spelling of 1220873481 in words is "one billion, two hundred twenty million, eight hundred seventy-three thousand, four hundred eighty-one".

Divisors: 1 3 9 19 57 171 361 613 1083 1839 3249 5517 11647 34941 104823 221293 375769 663879 1127307 1991637 3381921 7139611 21418833 64256499 135652609 406957827 1220873481