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2183239120 = 245234312753
BaseRepresentation
bin1000001000100001…
…1001010111010000
312122011011001001011
42002020121113100
513432402122440
61000350220304
7105050140426
oct20210312720
95564131034
102183239120
11a20421957
1250b1b4694
1328a41368a
14169d57116
15cba0a9ea
hex822195d0

2183239120 has 80 divisors (see below), whose sum is σ = 5310945792. Its totient is φ = 833085440.

The previous prime is 2183239117. The next prime is 2183239141. The reversal of 2183239120 is 219323812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791664 + ... + 794416.

Almost surely, 22183239120 is an apocalyptic number.

2183239120 is a gapful number since it is divisible by the number (20) 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 2183239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655472896).

2183239120 is an abundant number, since it is smaller than the sum of its proper divisors (3127706672).

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

2183239120 is a wasteful number, since it uses less digits than its factorization.

2183239120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2183239120 is about 46725.1444085516. The cubic root of 2183239120 is about 1297.2801359457.

The spelling of 2183239120 in words is "two billion, one hundred eighty-three million, two hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 431 460 862 920 1724 1840 2155 2753 3448 4310 5506 6896 8620 9913 11012 13765 17240 19826 22024 27530 34480 39652 44048 49565 55060 63319 79304 99130 110120 126638 158608 198260 220240 253276 316595 396520 506552 633190 793040 1013104 1186543 1266380 2373086 2532760 4746172 5065520 5932715 9492344 11865430 18984688 23730860 27290489 47461720 54580978 94923440 109161956 136452445 218323912 272904890 436647824 545809780 1091619560 2183239120