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5205231700 = 22521731432297
BaseRepresentation
bin1001101100100000…
…11000100001010100
3111102202120011112021
410312100120201110
541130014403300
62220302102524
7242663511424
oct46620304124
914382504467
105205231700
112231243689
12101327aa44
1364c528276
14375446484
15206e95d1a
hex136418854

5205231700 has 144 divisors (see below), whose sum is σ = 12638191104. Its totient is φ = 1851494400.

The previous prime is 5205231677. The next prime is 5205231719. The reversal of 5205231700 is 71325025.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2264952 + ... + 2267248.

It is an arithmetic number, because the mean of its divisors is an integer number (87765216).

Almost surely, 25205231700 is an apocalyptic number.

5205231700 is a gapful number since it is divisible by the number (50) 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 5205231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319095552).

5205231700 is an abundant number, since it is smaller than the sum of its proper divisors (7432959404).

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

5205231700 is a wasteful number, since it uses less digits than its factorization.

5205231700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5205231700 is about 72147.2917024610. The cubic root of 5205231700 is about 1733.0590291604.

Adding to 5205231700 its reverse (71325025), we get a palindrome (5276556725).

The spelling of 5205231700 in words is "five billion, two hundred five million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 43 50 62 68 85 86 100 124 155 170 172 215 310 340 425 430 527 620 731 775 850 860 1054 1075 1333 1462 1550 1700 2108 2150 2297 2635 2666 2924 3100 3655 4300 4594 5270 5332 6665 7310 9188 10540 11485 13175 13330 14620 18275 22661 22970 26350 26660 33325 36550 39049 45322 45940 52700 57425 66650 71207 73100 78098 90644 98771 113305 114850 133300 142414 156196 195245 197542 226610 229700 284828 356035 390490 395084 453220 493855 566525 712070 780980 976225 987710 1133050 1210519 1424140 1679107 1780175 1952450 1975420 2266100 2421038 2469275 3061901 3358214 3560350 3904900 4842076 4938550 6052595 6123802 6716428 7120700 8395535 9877100 12105190 12247604 15309505 16791070 24210380 30262975 30619010 33582140 41977675 52052317 60525950 61238020 76547525 83955350 104104634 121051900 153095050 167910700 208209268 260261585 306190100 520523170 1041046340 1301307925 2602615850 5205231700