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2256066064 = 247197102251
BaseRepresentation
bin1000011001111000…
…1101011000010000
312211020012000211101
42012132031120100
514110023103224
61011511154144
7106623150040
oct20636153020
95736160741
102256066064
11a5854390a
1252b675954
1329c531b45
141758b3720
15d30e4044
hex8678d610

2256066064 has 40 divisors (see below), whose sum is σ = 5020982208. Its totient is φ = 961968000.

The previous prime is 2256066047. The next prime is 2256066091. The reversal of 2256066064 is 4606606522.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29062 + ... + 73189.

Almost surely, 22256066064 is an apocalyptic number.

It is an amenable number.

2256066064 is an abundant number, since it is smaller than the sum of its proper divisors (2764916144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2256066064 is a wasteful number, since it uses less digits than its factorization.

2256066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102463 (or 102457 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2256066064 is about 47498.0637921168. The cubic root of 2256066064 is about 1311.5472392974.

The spelling of 2256066064 in words is "two billion, two hundred fifty-six million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 788 1379 1576 2758 3152 5516 11032 22064 102251 204502 409004 715757 818008 1431514 1636016 2863028 5726056 11452112 20143447 40286894 80573788 141004129 161147576 282008258 322295152 564016516 1128033032 2256066064