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1226385700929 = 3429242432
BaseRepresentation
bin10001110110001010010…
…010001011100001000001
311100020111221001121010000
4101312022102023201001
5130043114214412204
62335221021430213
7154413660313554
oct21661222134101
94306457047100
101226385700929
1143311a8357a4
1217982210b369
138b855c343ac
144350094069b
1521d7b37b039
hex11d8a48b841

1226385700929 has 45 divisors (see below), whose sum is σ = 1897806616563. Its totient is φ = 789211645488.

The previous prime is 1226385700921. The next prime is 1226385700937. The reversal of 1226385700929 is 9290075836221.

The square root of 1226385700929 is 1107423.

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

1226385700929 is a `hidden beast` number, since 1 + 2 + 2 + 63 + 8 + 570 + 0 + 9 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1226385700921) and next prime (1226385700937).

It can be written as a sum of positive squares in only one way, i.e., 643086913329 + 583298787600 = 801927^2 + 763740^2 .

It is not a de Polignac number, because 1226385700929 - 23 = 1226385700921 is a prime.

It is a super-2 number, since 2×12263857009292 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1226385700921) 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, 289035282 + ... + 289039524.

Almost surely, 21226385700929 is an apocalyptic number.

1226385700929 is the 1107423-rd square number.

1226385700929 is the 553712-nd centered octagonal number.

It is an amenable number.

1226385700929 is a deficient number, since it is larger than the sum of its proper divisors (671420915634).

1226385700929 is an frugal number, since it uses more digits than its factorization.

1226385700929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1226385700929 in words is "one trillion, two hundred twenty-six billion, three hundred eighty-five million, seven hundred thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 261 783 841 2349 2523 4243 7569 12729 22707 38187 68121 114561 123047 343683 369141 1107423 3322269 3568363 9966807 10705089 18003049 32115267 54009147 96345801 162027441 289037403 486082323 522088421 1458246969 1566265263 4698795789 14096387367 15140564209 42289162101 45421692627 136265077881 408795233643 1226385700929