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2214936064 = 29112317099
BaseRepresentation
bin1000010000000101…
…0011111000000000
312201100210102002001
42010001103320000
514014010423224
61003441433344
7105613434355
oct20401237000
95640712061
102214936064
11a37301280
1251993b854
13293b60b73
1417024862c
15ce6bc544
hex84053e00

2214936064 has 80 divisors (see below), whose sum is σ = 5038070400. Its totient is φ = 962959360.

The previous prime is 2214936037. The next prime is 2214936067. The reversal of 2214936064 is 4606394122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214936067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120987 + ... + 138085.

It is an arithmetic number, because the mean of its divisors is an integer number (62975880).

Almost surely, 22214936064 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 2214936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519035200).

2214936064 is an abundant number, since it is smaller than the sum of its proper divisors (2823134336).

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

2214936064 is a wasteful number, since it uses less digits than its factorization.

2214936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2214936064 is about 47063.1072497344. The cubic root of 2214936064 is about 1303.5281015448.

The spelling of 2214936064 in words is "two billion, two hundred fourteen million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1408 1472 2024 2816 2944 4048 5632 5888 8096 11776 16192 17099 32384 34198 64768 68396 129536 136792 188089 273584 376178 393277 547168 752356 786554 1094336 1504712 1573108 2188672 3009424 3146216 4326047 4377344 6018848 6292432 8652094 8754688 12037696 12584864 17304188 24075392 25169728 34608376 48150784 50339456 69216752 96301568 100678912 138433504 201357824 276867008 553734016 1107468032 2214936064