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2164432064 = 26173233839
BaseRepresentation
bin1000000100000010…
…1001110011000000
312120211202112121112
42001000221303000
513413043311224
6554435142452
7104431240364
oct20100516300
95524675545
102164432064
11a10846933
12504a44a28
1328655a242
1416765d2a4
15ca04330e
hex81029cc0

2164432064 has 56 divisors (see below), whose sum is σ = 4343582880. Its totient is φ = 1070065664.

The previous prime is 2164432019. The next prime is 2164432069. The reversal of 2164432064 is 4602344612.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2164432064.

It is not an unprimeable number, because it can be changed into a prime (2164432069) 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, 2579357 + ... + 2580195.

It is an arithmetic number, because the mean of its divisors is an integer number (77563980).

Almost surely, 22164432064 is an apocalyptic number.

It is an amenable number.

2164432064 is an abundant number, since it is smaller than the sum of its proper divisors (2179150816).

2164432064 is a wasteful number, since it uses less digits than its factorization.

2164432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2164432064 is about 46523.4571372335. The cubic root of 2164432064 is about 1293.5443389270.

Adding to 2164432064 its reverse (4602344612), we get a palindrome (6766776676).

The spelling of 2164432064 in words is "two billion, one hundred sixty-four million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 173 233 346 466 692 839 932 1384 1678 1864 2768 3356 3728 5536 6712 7456 11072 13424 14912 26848 40309 53696 80618 145147 161236 195487 290294 322472 390974 580588 644944 781948 1161176 1289888 1563896 2322352 2579776 3127792 4644704 6255584 9289408 12511168 33819251 67638502 135277004 270554008 541108016 1082216032 2164432064