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200242240 = 26511163349
BaseRepresentation
bin10111110111101…
…11010001000000
3111221210100201021
423323313101000
5402230222430
631511515224
74651013422
oct1373672100
9457710637
10200242240
11a3038a60
1257088b14
1332640643
141c846812
15128a607a
hexbef7440

200242240 has 112 divisors (see below), whose sum is σ = 524865600. Its totient is φ = 72161280.

The previous prime is 200242193. The next prime is 200242247. The reversal of 200242240 is 42242002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200242247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573586 + ... + 573934.

It is an arithmetic number, because the mean of its divisors is an integer number (4686300).

Almost surely, 2200242240 is an apocalyptic number.

200242240 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 200242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262432800).

200242240 is an abundant number, since it is smaller than the sum of its proper divisors (324623360).

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

200242240 is a wasteful number, since it uses less digits than its factorization.

200242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 200242240 is about 14150.6975093103. The cubic root of 200242240 is about 585.0395570690.

Adding to 200242240 its reverse (42242002), we get a palindrome (242484242).

The spelling of 200242240 in words is "two hundred million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 163 176 220 320 326 349 352 440 652 698 704 815 880 1304 1396 1630 1745 1760 1793 2608 2792 3260 3490 3520 3586 3839 5216 5584 6520 6980 7172 7678 8965 10432 11168 13040 13960 14344 15356 17930 19195 22336 26080 27920 28688 30712 35860 38390 52160 55840 56887 57376 61424 71720 76780 111680 113774 114752 122848 143440 153560 227548 245696 284435 286880 307120 455096 568870 573760 614240 625757 910192 1137740 1228480 1251514 1820384 2275480 2503028 3128785 3640768 4550960 5006056 6257570 9101920 10012112 12515140 18203840 20024224 25030280 40048448 50060560 100121120 200242240