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2923084220 = 2257213122769
BaseRepresentation
bin1010111000111010…
…1011100110111100
321112201022001201112
42232032223212330
521441302143340
61202015501152
7132302543300
oct25616534674
97481261645
102923084220
111270006491
12696b277b8
13377793c44
141da303d00
1512194e065
hexae3ab9bc

2923084220 has 72 divisors (see below), whose sum is σ = 7195502160. Its totient is φ = 994506240.

The previous prime is 2923084211. The next prime is 2923084231. The reversal of 2923084220 is 224803292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116996 + ... + 139764.

It is an arithmetic number, because the mean of its divisors is an integer number (99937530).

Almost surely, 22923084220 is an apocalyptic number.

2923084220 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 2923084220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597751080).

2923084220 is an abundant number, since it is smaller than the sum of its proper divisors (4272417940).

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

2923084220 is a wasteful number, since it uses less digits than its factorization.

2923084220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22914 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2923084220 is about 54065.5548385476. The cubic root of 2923084220 is about 1429.8169553961.

The spelling of 2923084220 in words is "two billion, nine hundred twenty-three million, eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 490 524 655 917 980 1310 1834 2620 3668 4585 6419 9170 12838 18340 22769 25676 32095 45538 64190 91076 113845 128380 159383 227690 318766 455380 637532 796915 1115681 1593830 2231362 2982739 3187660 4462724 5578405 5965478 11156810 11930956 14913695 20879173 22313620 29827390 41758346 59654780 83516692 104395865 146154211 208791730 292308422 417583460 584616844 730771055 1461542110 2923084220