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4221342300 = 2235273316073
BaseRepresentation
bin1111101110011100…
…1001001001011100
3101220012012102000010
43323213021021130
532121130423200
61534514003220
7206415550260
oct37347111134
911805172003
104221342300
111876923a4a
12999876510
1352373c0a6
142c08d00a0
1519a8e8150
hexfb9c925c

4221342300 has 144 divisors (see below), whose sum is σ = 14003048192. Its totient is φ = 961804800.

The previous prime is 4221342289. The next prime is 4221342319. The reversal of 4221342300 is 32431224.

It is a super-3 number, since 3×42213423003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692064 + ... + 698136.

Almost surely, 24221342300 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 4221342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001524096).

4221342300 is an abundant number, since it is smaller than the sum of its proper divisors (9781705892).

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

4221342300 is a wasteful number, since it uses less digits than its factorization.

4221342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4221342300 is about 64971.8577539537. The cubic root of 4221342300 is about 1616.1569092282.

Adding to 4221342300 its reverse (32431224), we get a palindrome (4253773524).

The spelling of 4221342300 in words is "four billion, two hundred twenty-one million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3972 4634 4965 6073 6620 6951 8275 9268 9930 11585 12146 13902 16550 18219 19860 23170 24292 24825 27804 30365 33100 34755 36438 42511 46340 49650 57925 60730 69510 72876 85022 91095 99300 115850 121460 127533 139020 151825 170044 173775 182190 212555 231700 255066 303650 347550 364380 425110 455475 510132 607300 637665 695100 850220 910950 1062775 1275330 1821900 2010163 2125550 2550660 3188325 4020326 4251100 6030489 6376650 8040652 10050815 12060978 12753300 14071141 20101630 24121956 28142282 30152445 40203260 42213423 50254075 56284564 60304890 70355705 84426846 100508150 120609780 140711410 150762225 168853692 201016300 211067115 281422820 301524450 351778525 422134230 603048900 703557050 844268460 1055335575 1407114100 2110671150 4221342300