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1220225409 = 321310429277
BaseRepresentation
bin100100010111011…
…0010100110000001
310011001001212120200
41020232302212001
54444334203114
6321025355413
742144513324
oct11056624601
93131055520
101220225409
11576870457
122a0798b69
13165a56390
14b80b67bb
15721d3409
hex48bb2981

1220225409 has 12 divisors (see below), whose sum is σ = 1898128596. Its totient is φ = 750907872.

The previous prime is 1220225407. The next prime is 1220225411. The reversal of 1220225409 is 9045220221.

It is a happy number.

1220225409 is a `hidden beast` number, since 12 + 20 + 225 + 409 = 666.

It is an interprime number because it is at equal distance from previous prime (1220225407) and next prime (1220225411).

It can be written as a sum of positive squares in 2 ways, for example, as 791859600 + 428365809 = 28140^2 + 20697^2 .

It is not a de Polignac number, because 1220225409 - 21 = 1220225407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1220225401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5214522 + ... + 5214755.

It is an arithmetic number, because the mean of its divisors is an integer number (158177383).

Almost surely, 21220225409 is an apocalyptic number.

It is an amenable number.

1220225409 is a deficient number, since it is larger than the sum of its proper divisors (677903187).

1220225409 is a wasteful number, since it uses less digits than its factorization.

1220225409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10429296 (or 10429293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1220225409 is about 34931.7249645648. The cubic root of 1220225409 is about 1068.5955338062.

The spelling of 1220225409 in words is "one billion, two hundred twenty million, two hundred twenty-five thousand, four hundred nine".

Divisors: 1 3 9 13 39 117 10429277 31287831 93863493 135580601 406741803 1220225409