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200342420 = 225233779149
BaseRepresentation
bin10111111000011…
…11101110010100
3111221222110010122
423330033232110
5402241424140
631514011112
74651611455
oct1374175624
9457873118
10200342420
11a30a7253
1257116a98
1332677115
141c87112c
15128c5ab5
hexbf0fb94

200342420 has 96 divisors (see below), whose sum is σ = 459648000. Its totient is φ = 73142784.

The previous prime is 200342419. The next prime is 200342423. The reversal of 200342420 is 24243002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200342423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344506 + ... + 1344654.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2200342420 is an apocalyptic number.

200342420 is a gapful number since it is divisible by the number (20) 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 200342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

200342420 is an abundant number, since it is smaller than the sum of its proper divisors (259305580).

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

200342420 is a wasteful number, since it uses less digits than its factorization.

200342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 200342420 is about 14154.2368215316. The cubic root of 200342420 is about 585.1371047385.

Adding to 200342420 its reverse (24243002), we get a palindrome (224585422).

The spelling of 200342420 in words is "two hundred million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 79 92 115 148 149 158 185 230 298 316 370 395 460 596 740 745 790 851 1490 1580 1702 1817 2923 2980 3404 3427 3634 4255 5513 5846 6854 7268 8510 9085 11026 11692 11771 13708 14615 17020 17135 18170 22052 23542 27565 29230 34270 36340 47084 55130 58460 58855 67229 68540 110260 117710 126799 134458 235420 253598 268916 270733 336145 435527 507196 541466 633995 672290 871054 1082932 1267990 1344580 1353665 1742108 2177635 2535980 2707330 4355270 5414660 8710540 10017121 20034242 40068484 50085605 100171210 200342420