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2263680441 = 3211171345027
BaseRepresentation
bin1000011011101101…
…0000010110111001
312211202111212210100
42012323100112321
514114000233231
61012342310013
7110044652301
oct20673202671
95752455710
102263680441
11a61874690
12532128309
132a0c998a9
141768d6601
15d3aea1e6
hex86ed05b9

2263680441 has 24 divisors (see below), whose sum is σ = 3776838624. Its totient is φ = 1291224960.

The previous prime is 2263680431. The next prime is 2263680443. The reversal of 2263680441 is 1440863622.

2263680441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2263680441 - 211 = 2263678393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2263680396 and 2263680405.

It is not an unprimeable number, because it can be changed into a prime (2263680443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670831 + ... + 674196.

It is an arithmetic number, because the mean of its divisors is an integer number (157368276).

Almost surely, 22263680441 is an apocalyptic number.

It is an amenable number.

2263680441 is a deficient number, since it is larger than the sum of its proper divisors (1513158183).

2263680441 is a wasteful number, since it uses less digits than its factorization.

2263680441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345061 (or 1345058 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2263680441 is about 47578.1508783181. The cubic root of 2263680441 is about 1313.0211029019.

The spelling of 2263680441 in words is "two billion, two hundred sixty-three million, six hundred eighty thousand, four hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 1345027 4035081 12105243 14795297 22865459 44385891 68596377 133157673 205789131 251520049 754560147 2263680441