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11222647969 = 1322922812
BaseRepresentation
bin10100111001110110…
…00000010010100001
31001222010101120211111
422130323000102201
5140440444213334
65053340143321
7545051635201
oct123473002241
931863346744
1011222647969
11483998a585
122212537b41
13109b0b1400
147866aa401
1545a3be064
hex29cec04a1

11222647969 has 27 divisors (see below), whose sum is σ = 12630779499. Its totient is φ = 9966552960.

The previous prime is 11222647967. The next prime is 11222648009. The reversal of 11222647969 is 96974622211.

It is a happy number.

The square root of 11222647969 is 105937.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7657125025 + 3565522944 = 87505^2 + 59712^2 .

It is not a de Polignac number, because 11222647969 - 21 = 11222647967 is a prime.

It is a super-2 number, since 2×112226479692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11222647967) 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, 39938109 + ... + 39938389.

Almost surely, 211222647969 is an apocalyptic number.

11222647969 is the 105937-th square number.

11222647969 is the 52969-th centered octagonal number.

It is an amenable number.

11222647969 is a deficient number, since it is larger than the sum of its proper divisors (1408131530).

11222647969 is an frugal number, since it uses more digits than its factorization.

11222647969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

Multiplying 11222647969 by its sum of digits (49), we get a square (549909750481 = 7415592).

It can be divided in two parts, 112 and 22647969, that added together give a square (22648081 = 47592).

The spelling of 11222647969 in words is "eleven billion, two hundred twenty-two million, six hundred forty-seven thousand, nine hundred sixty-nine".

Divisors: 1 13 29 169 281 377 841 3653 4901 8149 10933 47489 78961 105937 142129 236321 1026493 1377181 2289869 3072173 13344409 29768297 39938249 66406201 386987861 863280613 11222647969