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2988223488 = 210364003
BaseRepresentation
bin1011001000011100…
…1010110000000000
321201020212111000000
42302013022300000
522104441122423
61212304000000
7134023323555
oct26207126000
97636774000
102988223488
1112a3857598
126b4900000
133881201a3
14204c1ca2c
15127519843
hexb21cac00

2988223488 has 154 divisors (see below), whose sum is σ = 8958433484. Its totient is φ = 995825664.

The previous prime is 2988223487. The next prime is 2988223493. The reversal of 2988223488 is 8843228892.

2988223488 is a `hidden beast` number, since 298 + 8 + 2 + 2 + 348 + 8 = 666.

It is a super-2 number, since 2×29882234882 = 17858959228469772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2988223487) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 744495 + ... + 748497.

It is an arithmetic number, because the mean of its divisors is an integer number (58171646).

Almost surely, 22988223488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479216742).

2988223488 is an abundant number, since it is smaller than the sum of its proper divisors (5970209996).

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

2988223488 is an frugal number, since it uses more digits than its factorization.

2988223488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4008 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2988223488 is about 54664.6456862203. The cubic root of 2988223488 is about 1440.3599100375.

The spelling of 2988223488 in words is "two billion, nine hundred eighty-eight million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4003 4608 5184 5832 6912 7776 8006 9216 10368 11664 12009 13824 15552 16012 20736 23328 24018 27648 31104 32024 36027 41472 46656 48036 62208 64048 72054 82944 93312 96072 108081 124416 128096 144108 186624 192144 216162 248832 256192 288216 324243 373248 384288 432324 512384 576432 648486 746496 768576 864648 972729 1024768 1152864 1296972 1537152 1729296 1945458 2049536 2305728 2593944 2918187 3074304 3458592 3890916 4099072 4611456 5187888 5836374 6148608 6917184 7781832 9222912 10375776 11672748 12297216 13834368 15563664 18445824 20751552 23345496 27668736 31127328 36891648 41503104 46690992 55337472 62254656 83006208 93381984 110674944 124509312 166012416 186763968 249018624 332024832 373527936 498037248 747055872 996074496 1494111744 2988223488