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200320020 = 22335409907
BaseRepresentation
bin10111111000010…
…10010000010100
3111221221022102000
423330022100110
5402240220040
631513315300
74651456245
oct1374122024
9457838360
10200320020
11a309143a
1257105b30
1332669b74
141c866ccc
15128be130
hexbf0a414

200320020 has 96 divisors (see below), whose sum is σ = 625430400. Its totient is φ = 53229312.

The previous prime is 200320013. The next prime is 200320049. The reversal of 200320020 is 20023002.

It is a super-2 number, since 2×2003200202 = 80256220825600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200319984 and 200320011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220407 + ... + 221313.

It is an arithmetic number, because the mean of its divisors is an integer number (6514900).

Almost surely, 2200320020 is an apocalyptic number.

200320020 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 200320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312715200).

200320020 is an abundant number, since it is smaller than the sum of its proper divisors (425110380).

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

200320020 is a wasteful number, since it uses less digits than its factorization.

200320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200320020 is about 14153.4455169051. The cubic root of 200320020 is about 585.1152961443.

Adding to 200320020 its reverse (20023002), we get a palindrome (220343022).

The spelling of 200320020 in words is "two hundred million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 409 540 818 907 1227 1636 1814 2045 2454 2721 3628 3681 4090 4535 4908 5442 6135 7362 8163 8180 9070 10884 11043 12270 13605 14724 16326 18140 18405 22086 24489 24540 27210 32652 36810 40815 44172 48978 54420 55215 73620 81630 97956 110430 122445 163260 220860 244890 370963 489780 741926 1112889 1483852 1854815 2225778 3338667 3709630 4451556 5564445 6677334 7419260 10016001 11128890 13354668 16693335 20032002 22257780 33386670 40064004 50080005 66773340 100160010 200320020