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4104212220 = 223358391571
BaseRepresentation
bin1111010010100001…
…0100111011111100
3101121000210120202000
43310220110323330
531401134242340
61515131302300
7203464141203
oct36450247374
911530716660
104104212220
1118167a2429
129665aa990
135053ab554
142ad12023a
151904acd30
hexf4a14efc

4104212220 has 96 divisors (see below), whose sum is σ = 12922640640. Its totient is φ = 1081258560.

The previous prime is 4104212219. The next prime is 4104212237. The reversal of 4104212220 is 222124014.

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

It is a junction number, because it is equal to n+sod(n) for n = 4104212193 and 4104212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966 + ... + 90605.

It is an arithmetic number, because the mean of its divisors is an integer number (134610840).

Almost surely, 24104212220 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 4104212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461320320).

4104212220 is an abundant number, since it is smaller than the sum of its proper divisors (8818428420).

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

4104212220 is a wasteful number, since it uses less digits than its factorization.

4104212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91672 (or 91664 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4104212220 is about 64064.1258427835. The cubic root of 4104212220 is about 1601.0685856482.

Adding to 4104212220 its reverse (222124014), we get a palindrome (4326336234).

The spelling of 4104212220 in words is "four billion, one hundred four million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 44820 91571 183142 274713 366284 457855 549426 824139 915710 1098852 1373565 1648278 1831420 2472417 2747130 3296556 4120695 4944834 5494260 7600393 8241390 9889668 12362085 15200786 16482780 22801179 24724170 30401572 38001965 45602358 49448340 68403537 76003930 91204716 114005895 136807074 152007860 205210611 228011790 273614148 342017685 410421222 456023580 684035370 820842444 1026053055 1368070740 2052106110 4104212220