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2218296920 = 235719141479
BaseRepresentation
bin1000010000111000…
…1000011001011000
312201121010011022012
42010032020121120
514020341000140
61004041445052
7105654132650
oct20416103130
95647104265
102218296920
11a39197344
1251aaa0788
13294769838
14170881360
15ceb33265
hex84388658

2218296920 has 64 divisors (see below), whose sum is σ = 5734195200. Its totient is φ = 756558720.

The previous prime is 2218296863. The next prime is 2218296959. The reversal of 2218296920 is 296928122.

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, 32741 + ... + 74219.

It is an arithmetic number, because the mean of its divisors is an integer number (89596800).

Almost surely, 22218296920 is an apocalyptic number.

2218296920 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 2218296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867097600).

2218296920 is an abundant number, since it is smaller than the sum of its proper divisors (3515898280).

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

2218296920 is a wasteful number, since it uses less digits than its factorization.

2218296920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41688 (or 41684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 2218296920 is about 47098.7995600737. The cubic root of 2218296920 is about 1304.1870756105.

The spelling of 2218296920 in words is "two billion, two hundred eighteen million, two hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1528 1910 2674 3820 5348 6685 7640 10696 13370 26740 41479 53480 82958 165916 207395 290353 331832 414790 580706 829580 1161412 1451765 1659160 2322824 2903530 5807060 7922489 11614120 15844978 31689956 39612445 55457423 63379912 79224890 110914846 158449780 221829692 277287115 316899560 443659384 554574230 1109148460 2218296920