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5200412220 = 223455954409
BaseRepresentation
bin1001101011111011…
…11111111000111100
3111102102111022110000
410311331333320330
541122301142340
62220010514300
7242604526443
oct46575777074
914372438400
105200412220
112229551743
121011735990
1364b52b6c3
1437494dd5a
15206842d30
hex135f7fe3c

5200412220 has 120 divisors (see below), whose sum is σ = 16590697200. Its totient is φ = 1363246848.

The previous prime is 5200412207. The next prime is 5200412221. The reversal of 5200412220 is 222140025.

5200412220 is a `hidden beast` number, since 520 + 0 + 4 + 122 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5200412193 and 5200412202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200412221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68376 + ... + 122784.

It is an arithmetic number, because the mean of its divisors is an integer number (138255810).

Almost surely, 25200412220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295348600).

5200412220 is an abundant number, since it is smaller than the sum of its proper divisors (11390284980).

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

5200412220 is a wasteful number, since it uses less digits than its factorization.

5200412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54489 (or 54478 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5200412220 is about 72113.8836840729. The cubic root of 5200412220 is about 1732.5239890983.

Adding to 5200412220 its reverse (222140025), we get a palindrome (5422552245).

The spelling of 5200412220 in words is "five billion, two hundred million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1770 2124 2655 3186 3540 4779 5310 6372 7965 9558 10620 15930 19116 23895 31860 47790 54409 95580 108818 163227 217636 272045 326454 489681 544090 652908 816135 979362 1088180 1469043 1632270 1958724 2448405 2938086 3210131 3264540 4407129 4896810 5876172 6420262 7345215 8814258 9630393 9793620 12840524 14690430 16050655 17628516 19260786 22035645 28891179 29380860 32101310 38521572 44071290 48151965 57782358 64202620 86673537 88142580 96303930 115564716 144455895 173347074 192607860 260020611 288911790 346694148 433367685 520041222 577823580 866735370 1040082444 1300103055 1733470740 2600206110 5200412220