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2173821864 = 2336110911361
BaseRepresentation
bin1000000110010001…
…1110001110101000
312121111102120222220
42001210132032220
513422444244424
6555412314040
7104604116034
oct20144361650
95544376886
102173821864
11a1607a5a5
12508012920
13288497136
141689c51c4
15cac9a579
hex8191e3a8

2173821864 has 64 divisors (see below), whose sum is σ = 5532770880. Its totient is φ = 711552000.

The previous prime is 2173821851. The next prime is 2173821869. The reversal of 2173821864 is 4681283712.

It is not an unprimeable number, because it can be changed into a prime (2173821869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596544 + ... + 1597904.

It is an arithmetic number, because the mean of its divisors is an integer number (86449545).

Almost surely, 22173821864 is an apocalyptic number.

2173821864 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 2173821864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766385440).

2173821864 is an abundant number, since it is smaller than the sum of its proper divisors (3358949016).

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

2173821864 is a wasteful number, since it uses less digits than its factorization.

2173821864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2518 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 2173821864 is about 46624.2626107910. The cubic root of 2173821864 is about 1295.4122039170.

The spelling of 2173821864 in words is "two billion, one hundred seventy-three million, eight hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1091 1361 1464 2182 2722 3273 4083 4364 5444 6546 8166 8728 10888 13092 16332 26184 32664 66551 83021 133102 166042 199653 249063 266204 332084 399306 498126 532408 664168 798612 996252 1484851 1597224 1992504 2969702 4454553 5939404 8909106 11878808 17818212 35636424 90575911 181151822 271727733 362303644 543455466 724607288 1086910932 2173821864