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2059221408 = 25361351643
BaseRepresentation
bin111101010111101…
…0011100110100000
312022111210021201120
41322233103212200
513204130041113
6540200132240
7102013043646
oct17257234640
95274707646
102059221408
11967416582
12495767080
1326a810b0a
141576b3196
15c0baea23
hex7abd39a0

2059221408 has 48 divisors (see below), whose sum is σ = 5494085856. Its totient is φ = 675152640.

The previous prime is 2059221403. The next prime is 2059221443. The reversal of 2059221408 is 8041229502.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2059221401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169966 + ... + 181677.

It is an arithmetic number, because the mean of its divisors is an integer number (114460122).

Almost surely, 22059221408 is an apocalyptic number.

It is an amenable number.

2059221408 is an abundant number, since it is smaller than the sum of its proper divisors (3434864448).

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

2059221408 is a wasteful number, since it uses less digits than its factorization.

2059221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351717 (or 351709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2059221408 is about 45378.6448453455. The cubic root of 2059221408 is about 1272.2360030436.

The spelling of 2059221408 in words is "two billion, fifty-nine million, two hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 351643 703286 1054929 1406572 2109858 2813144 4219716 5626288 8439432 11252576 16878864 21450223 33757728 42900446 64350669 85800892 128701338 171601784 257402676 343203568 514805352 686407136 1029610704 2059221408