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201422584441 = 1347616418431
BaseRepresentation
bin1011101110010110111…
…0001011101001111001
3201020220111010110111001
42323211232023221321
511300003140200231
6232310545005001
720360303501341
oct2734556135171
9636814113431
10201422584441
1178471885a21
1233054023761
1315cbcc77510
149a6add1d21
15538d2cab61
hex2ee5b8ba79

201422584441 has 32 divisors (see below), whose sum is σ = 225541564416. Its totient is φ = 178689024000.

The previous prime is 201422584427. The next prime is 201422584459. The reversal of 201422584441 is 144485224102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201422584441 - 213 = 201422576249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201422584441.

It is not an unprimeable number, because it can be changed into a prime (201422581441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23886496 + ... + 23894926.

It is an arithmetic number, because the mean of its divisors is an integer number (7048173888).

Almost surely, 2201422584441 is an apocalyptic number.

It is an amenable number.

201422584441 is a deficient number, since it is larger than the sum of its proper divisors (24118979975).

201422584441 is a wasteful number, since it uses less digits than its factorization.

201422584441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193.

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 201422584441 in words is "two hundred one billion, four hundred twenty-two million, five hundred eighty-four thousand, four hundred forty-one".

Divisors: 1 13 47 61 611 641 793 2867 8333 8431 30127 37271 39101 109603 391651 396257 508313 514291 1837747 5151341 5404271 6685783 23890711 24171677 70255523 254000737 314231801 329660531 3302009581 4285586903 15494044957 201422584441