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2264103401 = 71794120219
BaseRepresentation
bin1000011011110011…
…0111100111101001
312211210022100222112
42012330313213221
514114102302101
61012355332105
7110051363360
oct20674674751
95753270875
102264103401
11a6203343a
125322b1035
132a10b7271
141769a67d7
15d3b806bb
hex86f379e9

2264103401 has 16 divisors (see below), whose sum is σ = 2742802560. Its totient is φ = 1824472320.

The previous prime is 2264103379. The next prime is 2264103407. The reversal of 2264103401 is 1043014622.

It is a cyclic number.

It is not a de Polignac number, because 2264103401 - 222 = 2259909097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2264103407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101870 + ... + 122088.

It is an arithmetic number, because the mean of its divisors is an integer number (171425160).

Almost surely, 22264103401 is an apocalyptic number.

It is an amenable number.

2264103401 is a deficient number, since it is larger than the sum of its proper divisors (478699159).

2264103401 is a wasteful number, since it uses less digits than its factorization.

2264103401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21184.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2264103401 is about 47582.5955681276. The cubic root of 2264103401 is about 1313.1028754599.

The spelling of 2264103401 in words is "two billion, two hundred sixty-four million, one hundred three thousand, four hundred one".

Divisors: 1 7 17 119 941 6587 15997 20219 111979 141533 343723 2406061 19026079 133182553 323443343 2264103401