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4220334000 = 243253234463
BaseRepresentation
bin1111101110001101…
…0010111110110000
3101220010022011212200
43323203102332300
532120401142000
61534440223200
7206404150521
oct37343227660
911803264780
104220334000
1118762a5443
1299946ab00
1352347816c
142c070a848
1519a799500
hexfb8d2fb0

4220334000 has 120 divisors (see below), whose sum is σ = 14740282752. Its totient is φ = 1125417600.

The previous prime is 4220333977. The next prime is 4220334007. The reversal of 4220334000 is 4330224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42203340002 = 35622438143112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4220334007) by changing a digit.

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, 99232 + ... + 135231.

Almost surely, 24220334000 is an apocalyptic number.

4220334000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220334000 is an abundant number, since it is smaller than the sum of its proper divisors (10519948752).

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

4220334000 is a wasteful number, since it uses less digits than its factorization.

4220334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234492 (or 234473 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4220334000 is about 64964.0977771569. The cubic root of 4220334000 is about 1616.0282218219.

Adding to 4220334000 its reverse (4330224), we get a palindrome (4224664224).

The spelling of 4220334000 in words is "four billion, two hundred twenty million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 234463 468926 703389 937852 1172315 1406778 1875704 2110167 2344630 2813556 3516945 3751408 4220334 4689260 5627112 5861575 7033890 8440668 9378520 10550835 11254224 11723150 14067780 16881336 17584725 18757040 21101670 23446300 28135560 29307875 33762672 35169450 42203340 46892600 52754175 56271120 58615750 70338900 84406680 87923625 93785200 105508350 117231500 140677800 168813360 175847250 211016700 234463000 263770875 281355600 351694500 422033400 468926000 527541750 703389000 844066800 1055083500 1406778000 2110167000 4220334000