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14201502200 = 23521374191237
BaseRepresentation
bin11010011100111100…
…11011100111111000
31100122201122001121222
431032132123213320
5213041041032300
610305111251212
71011632530334
oct151636334770
940581561558
1014201502200
116028417886
122904079b08
1314542a0b52
1498a16a7c4
15581b87785
hex34e79b9f8

14201502200 has 96 divisors (see below), whose sum is σ = 33365833200. Its totient is φ = 5621130240.

The previous prime is 14201502169. The next prime is 14201502221. The reversal of 14201502200 is 220510241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11479982 + ... + 11481218.

Almost surely, 214201502200 is an apocalyptic number.

14201502200 is a gapful number since it is divisible by the number (10) 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 14201502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682916600).

14201502200 is an abundant number, since it is smaller than the sum of its proper divisors (19164331000).

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

14201502200 is a wasteful number, since it uses less digits than its factorization.

14201502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 14201502200 in words is "fourteen billion, two hundred one million, five hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 419 548 685 838 1096 1237 1370 1676 2095 2474 2740 3352 3425 4190 4948 5480 6185 6850 8380 9896 10475 12370 13700 16760 20950 24740 27400 30925 41900 49480 57403 61850 83800 114806 123700 169469 229612 247400 287015 338938 459224 518303 574030 677876 847345 1036606 1148060 1355752 1435075 1694690 2073212 2296120 2591515 2870150 3389380 4146424 4236725 5183030 5740300 6778760 8473450 10366060 11480600 12957575 16946900 20732120 25915150 33893800 51830300 71007511 103660600 142015022 284030044 355037555 568060088 710075110 1420150220 1775187775 2840300440 3550375550 7100751100 14201502200