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2193420480 = 263514471579
BaseRepresentation
bin1000001010111100…
…1111000011000000
312122212022022020120
42002233033003000
513443003423410
61001352340240
7105232523616
oct20257170300
95585268216
102193420480
11a261462a9
125126a4680
1328c569954
1416b4476b6
15cc86c570
hex82bcf0c0

2193420480 has 112 divisors (see below), whose sum is σ = 6973336320. Its totient is φ = 584137728.

The previous prime is 2193420479. The next prime is 2193420491. The reversal of 2193420480 is 840243912.

It is a super-2 number, since 2×21934204802 = 9622186804166860800, which contains 22 as substring.

It is an unprimeable number.

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, 1388331 + ... + 1389909.

Almost surely, 22193420480 is an apocalyptic number.

2193420480 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 2193420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486668160).

2193420480 is an abundant number, since it is smaller than the sum of its proper divisors (4779915840).

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

2193420480 is a wasteful number, since it uses less digits than its factorization.

2193420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2193420480 is about 46833.9671605983. The cubic root of 2193420480 is about 1299.2935964950.

The spelling of 2193420480 in words is "two billion, one hundred ninety-three million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1447 1579 2894 3158 4341 4737 5788 6316 7235 7895 8682 9474 11576 12632 14470 15790 17364 18948 21705 23152 23685 25264 28940 31580 34728 37896 43410 46304 47370 50528 57880 63160 69456 75792 86820 92608 94740 101056 115760 126320 138912 151584 173640 189480 231520 252640 277824 303168 347280 378960 463040 505280 694560 757920 1389120 1515840 2284813 4569626 6854439 9139252 11424065 13708878 18278504 22848130 27417756 34272195 36557008 45696260 54835512 68544390 73114016 91392520 109671024 137088780 146228032 182785040 219342048 274177560 365570080 438684096 548355120 731140160 1096710240 2193420480