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1222830961 = 114174
BaseRepresentation
bin100100011100010…
…1110101101110001
310011012222020201121
41020320232231301
510001021042321
6321201302241
742205614562
oct11070565561
93135866647
101222830961
11578290000
122a1634981
13166459321
14b8594169
157254a441
hex48e2eb71

1222830961 has 25 divisors (see below), whose sum is σ = 1429173805. Its totient is φ = 1046272480.

The previous prime is 1222830943. The next prime is 1222830979. The reversal of 1222830961 is 1690382221.

The square root of 1222830961 is 34969.

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

It is an interprime number because it is at equal distance from previous prime (1222830943) and next prime (1222830979).

It can be written as a sum of positive squares in 2 ways, for example, as 379509361 + 843321600 = 19481^2 + 29040^2 .

It is a de Polignac number, because none of the positive numbers 2k-1222830961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1222830911) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 71931225 + ... + 71931241.

Almost surely, 21222830961 is an apocalyptic number.

1222830961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1222830961 is the 34969-th square number.

1222830961 is the 17485-th centered octagonal number.

It is an amenable number.

1222830961 is a deficient number, since it is larger than the sum of its proper divisors (206342844).

1222830961 is an frugal number, since it uses more digits than its factorization.

1222830961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 1222830961 is about 1069.3555851309.

The spelling of 1222830961 in words is "one billion, two hundred twenty-two million, eight hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 11 17 121 187 289 1331 2057 3179 4913 14641 22627 34969 54043 83521 248897 384659 594473 918731 4231249 6539203 10106041 71931233 111166451 1222830961