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2216474880 = 28354712281
BaseRepresentation
bin1000010000011100…
…1011100100000000
312201110200120221020
42010013023210000
514014404144010
61003534425440
7105632503614
oct20407134400
95643616836
102216474880
11a38162424
1251a362280
1329427c3c9
14170529344
15ce8c3470
hex841cb900

2216474880 has 144 divisors (see below), whose sum is σ = 7230069504. Its totient is φ = 578437120.

The previous prime is 2216474867. The next prime is 2216474881. The reversal of 2216474880 is 884746122.

It is a super-3 number, since 3×22164748803 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216474881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174340 + ... + 186620.

It is an arithmetic number, because the mean of its divisors is an integer number (50208816).

Almost surely, 22216474880 is an apocalyptic number.

2216474880 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 2216474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615034752).

2216474880 is an abundant number, since it is smaller than the sum of its proper divisors (5013594624).

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

2216474880 is a wasteful number, since it uses less digits than its factorization.

2216474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2216474880 is about 47079.4528430397. The cubic root of 2216474880 is about 1303.8299049216.

The spelling of 2216474880 in words is "two billion, two hundred sixteen million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 9024 11280 12032 12281 15040 18048 22560 24562 30080 36096 36843 45120 49124 60160 61405 73686 90240 98248 122810 147372 180480 184215 196496 245620 294744 368430 392992 491240 577207 589488 736860 785984 982480 1154414 1178976 1473720 1571968 1731621 1964960 2308828 2357952 2886035 2947440 3143936 3463242 3929920 4617656 4715904 5772070 5894880 6926484 7859840 8658105 9235312 9431808 11544140 11789760 13852968 15719680 17316210 18470624 23088280 23579520 27705936 34632420 36941248 46176560 47159040 55411872 69264840 73882496 92353120 110823744 138529680 147764992 184706240 221647488 277059360 369412480 443294976 554118720 738824960 1108237440 2216474880