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1229616064 = 2623236319
BaseRepresentation
bin100100101001010…
…0111001111000000
310011200201222010201
41021102213033000
510004240203224
6322002534544
742320364325
oct11122471700
93150658121
101229616064
115810a4826
122a3967454
13167993791
14b943cb4c
1572e3aa44
hex494a73c0

1229616064 has 42 divisors (see below), whose sum is σ = 2550789920. Its totient is φ = 588061056.

The previous prime is 1229616061. The next prime is 1229616067. The reversal of 1229616064 is 4606169221.

It is an interprime number because it is at equal distance from previous prime (1229616061) and next prime (1229616067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229616061) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15697 + ... + 52015.

Almost surely, 21229616064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275394960).

1229616064 is an abundant number, since it is smaller than the sum of its proper divisors (1321173856).

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

1229616064 is an equidigital number, since it uses as much as digits as its factorization.

1229616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36377 (or 36344 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1229616064 is about 35065.8817656137. The cubic root of 1229616064 is about 1071.3297770934.

The spelling of 1229616064 in words is "one billion, two hundred twenty-nine million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 33856 36319 72638 145276 290552 581104 835337 1162208 1670674 2324416 3341348 6682696 13365392 19212751 26730784 38425502 53461568 76851004 153702008 307404016 614808032 1229616064