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2229005064 = 23311131934183
BaseRepresentation
bin1000010011011011…
…1110101100001000
312202100021012010010
42010312332230020
514031111130224
61005103151520
7106144142016
oct20466765410
95670235103
102229005064
11a44240550
125225a55a0
13296a48810
1417206b8b6
15d0a4ae29
hex84dbeb08

2229005064 has 128 divisors (see below), whose sum is σ = 6891494400. Its totient is φ = 590664960.

The previous prime is 2229005063. The next prime is 2229005071. The reversal of 2229005064 is 4605009222.

It is not an unprimeable number, because it can be changed into a prime (2229005063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48117 + ... + 82299.

It is an arithmetic number, because the mean of its divisors is an integer number (53839800).

Almost surely, 22229005064 is an apocalyptic number.

2229005064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445747200).

2229005064 is an abundant number, since it is smaller than the sum of its proper divisors (4662489336).

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

2229005064 is a wasteful number, since it uses less digits than its factorization.

2229005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34235 (or 34231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2229005064 is about 47212.3401665285. The cubic root of 2229005064 is about 1306.2822282320.

The spelling of 2229005064 in words is "two billion, two hundred twenty-nine million, five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 209 228 247 264 286 312 418 429 456 494 572 627 741 836 858 988 1144 1254 1482 1672 1716 1976 2508 2717 2964 3432 5016 5434 5928 8151 10868 16302 21736 32604 34183 65208 68366 102549 136732 205098 273464 376013 410196 444379 649477 752026 820392 888758 1128039 1298954 1333137 1504052 1777516 1948431 2256078 2597908 2666274 3008104 3555032 3896862 4512156 4888169 5195816 5332548 7144247 7793724 8443201 9024312 9776338 10665096 14288494 14664507 15587448 16886402 19552676 21432741 25329603 28576988 29329014 33772804 39105352 42865482 50659206 57153976 58658028 67545608 85730964 92875211 101318412 117316056 171461928 185750422 202636824 278625633 371500844 557251266 743001688 1114502532 2229005064