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200228520 = 2335712331
BaseRepresentation
bin10111110111100…
…11111010101000
3111221202122220010
423323303322220
5402224303040
631511331520
74650625422
oct1373637250
9457678803
10200228520
11a3029718
1257080ba0
133263731b
141c841812
15128a1e80
hexbef3ea8

200228520 has 96 divisors (see below), whose sum is σ = 611105760. Its totient is φ = 52483200.

The previous prime is 200228513. The next prime is 200228521. The reversal of 200228520 is 25822002.

It is not an unprimeable number, because it can be changed into a prime (200228521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604755 + ... + 605085.

It is an arithmetic number, because the mean of its divisors is an integer number (6365685).

Almost surely, 2200228520 is an apocalyptic number.

200228520 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 200228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305552880).

200228520 is an abundant number, since it is smaller than the sum of its proper divisors (410877240).

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

200228520 is a wasteful number, since it uses less digits than its factorization.

200228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 200228520 is about 14150.2127192491. The cubic root of 200228520 is about 585.0261950430.

The spelling of 200228520 in words is "two hundred million, two hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 331 355 426 568 662 710 852 993 1065 1324 1420 1655 1704 1986 2130 2648 2840 3310 3972 4260 4965 5041 6620 7944 8520 9930 10082 13240 15123 19860 20164 23501 25205 30246 39720 40328 47002 50410 60492 70503 75615 94004 100820 117505 120984 141006 151230 188008 201640 235010 282012 302460 352515 470020 564024 604920 705030 940040 1410060 1668571 2820120 3337142 5005713 6674284 8342855 10011426 13348568 16685710 20022852 25028565 33371420 40045704 50057130 66742840 100114260 200228520