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2219266064 = 242928117021
BaseRepresentation
bin1000010001000111…
…0101000000010000
312201122221101201102
42010101311000100
514021113003224
61004114323532
7105665310311
oct20421650020
95648841642
102219266064
11a39799494
1251b2895a8
13294a189b2
14170a54608
15cec754ae
hex84475010

2219266064 has 40 divisors (see below), whose sum is σ = 4464189720. Its totient is φ = 1067494400.

The previous prime is 2219266057. The next prime is 2219266079. The reversal of 2219266064 is 4606629122.

It can be written as a sum of positive squares in 4 ways, for example, as 1148667664 + 1070598400 = 33892^2 + 32720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121874 + ... + 138894.

It is an arithmetic number, because the mean of its divisors is an integer number (111604743).

Almost surely, 22219266064 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 2219266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232094860).

2219266064 is an abundant number, since it is smaller than the sum of its proper divisors (2244923656).

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

2219266064 is a wasteful number, since it uses less digits than its factorization.

2219266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17339 (or 17333 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2219266064 is about 47109.0868516892. The cubic root of 2219266064 is about 1304.3769752051.

The spelling of 2219266064 in words is "two billion, two hundred nineteen million, two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 281 464 562 1124 2248 4496 8149 16298 17021 32596 34042 65192 68084 130384 136168 272336 493609 987218 1974436 3948872 4782901 7897744 9565802 19131604 38263208 76526416 138704129 277408258 554816516 1109633032 2219266064