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200220320 = 25531371091
BaseRepresentation
bin10111110111100…
…01111010100000
3111221202020122102
423323301322200
5402224022240
631511225532
74650562466
oct1373617240
9457666572
10200220320
11a3023543
12570782a8
1332633681
141c83c836
151289e815
hexbef1ea0

200220320 has 96 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 75340800.

The previous prime is 200220287. The next prime is 200220353. The reversal of 200220320 is 23022002.

It is an interprime number because it is at equal distance from previous prime (200220287) and next prime (200220353).

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, 182975 + ... + 184065.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2200220320 is an apocalyptic number.

200220320 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 200220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

200220320 is an abundant number, since it is smaller than the sum of its proper divisors (301715296).

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

200220320 is a wasteful number, since it uses less digits than its factorization.

200220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 200220320 is about 14149.9229679882. The cubic root of 200220320 is about 585.0182087010.

Adding to 200220320 its reverse (23022002), we get a palindrome (223242322).

It can be divided in two parts, 2002 and 20320, that added together give a palindrome (22322).

The spelling of 200220320 in words is "two hundred million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 74 80 124 148 155 160 185 248 296 310 370 496 592 620 740 992 1091 1147 1184 1240 1480 2182 2294 2480 2960 4364 4588 4960 5455 5735 5920 8728 9176 10910 11470 17456 18352 21820 22940 33821 34912 36704 40367 43640 45880 67642 80734 87280 91760 135284 161468 169105 174560 183520 201835 270568 322936 338210 403670 541136 645872 676420 807340 1082272 1251377 1291744 1352840 1614680 2502754 2705680 3229360 5005508 5411360 6256885 6458720 10011016 12513770 20022032 25027540 40044064 50055080 100110160 200220320