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2355379201 = 75357711003
BaseRepresentation
bin1000110001100100…
…0011110000000001
320002011001122211201
42030121003300001
514310434113301
61025415541201
7112240251520
oct21431036001
96064048751
102355379201
11aa960628a
1255898a801
132b6c94b06
14184b664b7
15dbbb0201
hex8c643c01

2355379201 has 16 divisors (see below), whose sum is σ = 2747654784. Its totient is φ = 1977191424.

The previous prime is 2355379129. The next prime is 2355379207. The reversal of 2355379201 is 1029735532.

It is a cyclic number.

It is not a de Polignac number, because 2355379201 - 27 = 2355379073 is a prime.

It is a super-2 number, since 2×23553792012 = 11095622361006796802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2355379207) 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 15 ways as a sum of consecutive naturals, for example, 208566 + ... + 219568.

It is an arithmetic number, because the mean of its divisors is an integer number (171728424).

Almost surely, 22355379201 is an apocalyptic number.

It is an amenable number.

2355379201 is a deficient number, since it is larger than the sum of its proper divisors (392275583).

2355379201 is a wasteful number, since it uses less digits than its factorization.

2355379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 2355379201 is about 48532.2490824400. The cubic root of 2355379201 is about 1330.5165425341.

The spelling of 2355379201 in words is "two billion, three hundred fifty-five million, three hundred seventy-nine thousand, two hundred one".

Divisors: 1 7 53 371 577 4039 11003 30581 77021 214067 583159 4082113 6348731 44441117 336482743 2355379201