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200221220 = 22529595851
BaseRepresentation
bin10111110111100…
…10001000100100
3111221202021212202
423323302020210
5402224034340
631511234032
74650565223
oct1373621044
9457667782
10200221220
11a3024191
1257078918
1332633bc4
141c83ccba
151289ec15
hexbef2224

200221220 has 48 divisors (see below), whose sum is σ = 442411200. Its totient is φ = 76003200.

The previous prime is 200221199. The next prime is 200221237. The reversal of 200221220 is 22122002.

200221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31295 + ... + 37145.

It is an arithmetic number, because the mean of its divisors is an integer number (9216900).

Almost surely, 2200221220 is an apocalyptic number.

200221220 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 200221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205600).

200221220 is an abundant number, since it is smaller than the sum of its proper divisors (242189980).

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

200221220 is a wasteful number, since it uses less digits than its factorization.

200221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 200221220 is about 14149.9547702457. The cubic root of 200221220 is about 585.0190852614.

Adding to 200221220 its reverse (22122002), we get a palindrome (222343222).

The spelling of 200221220 in words is "two hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 1180 1711 3422 5851 6844 8555 11702 17110 23404 29255 34220 58510 117020 169679 339358 345209 678716 690418 848395 1380836 1696790 1726045 3393580 3452090 6904180 10011061 20022122 40044244 50055305 100110610 200221220