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4200413220 = 2233519409397
BaseRepresentation
bin1111101001011101…
…0011100000100100
3101211201211002201000
43322113103200210
532100301210340
61532445233300
7206042631453
oct37227234044
911751732630
104200413220
111866029693
12992862830
1351c2c1b13
142bbc02b9a
15198b61d30
hexfa5d3824

4200413220 has 96 divisors (see below), whose sum is σ = 13755772800. Its totient is φ = 1061154432.

The previous prime is 4200413153. The next prime is 4200413237. The reversal of 4200413220 is 223140024.

4200413220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 4200413193 and 4200413202.

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, 194439 + ... + 214958.

It is an arithmetic number, because the mean of its divisors is an integer number (143289300).

Almost surely, 24200413220 is an apocalyptic number.

It is an amenable number.

4200413220 is an abundant number, since it is smaller than the sum of its proper divisors (9555359580).

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

4200413220 is a wasteful number, since it uses less digits than its factorization.

4200413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409434 (or 409426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4200413220 is about 64810.5949671811. The cubic root of 4200413220 is about 1613.4815570659.

Adding to 4200413220 its reverse (223140024), we get a palindrome (4423553244).

The spelling of 4200413220 in words is "four billion, two hundred million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 409397 818794 1228191 1637588 2046985 2456382 3684573 4093970 4912764 6140955 7369146 7778543 8187940 11053719 12281910 14738292 15557086 18422865 22107438 23335629 24563820 31114172 36845730 38892715 44214876 46671258 55268595 70006887 73691460 77785430 93342516 110537190 116678145 140013774 155570860 210020661 221074380 233356290 280027548 350034435 420041322 466712580 700068870 840082644 1050103305 1400137740 2100206610 4200413220