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147630912200 = 235210122692
BaseRepresentation
bin1000100101111101111…
…1001111001011001000
3112010001122121101100222
42021133133033023020
54404322003142300
6151453134445212
713444301022512
oct2113737171310
9463048541328
10147630912200
115767888a452
1224741363808
1310bc97c7a65
147206c9abb2
153c90b12785
hex225f7cf2c8

147630912200 has 108 divisors (see below), whose sum is σ = 347967494745. Its totient is φ = 58250336000.

The previous prime is 147630912167. The next prime is 147630912203. The reversal of 147630912200 is 2219036741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 986336836 + 146644575364 = 31406^2 + 382942^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=271690.

It is not an unprimeable number, because it can be changed into a prime (147630912203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 548813666 + ... + 548813934.

Almost surely, 2147630912200 is an apocalyptic number.

147630912200 is a gapful number since it is divisible by the number (10) 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 147630912200

147630912200 is an abundant number, since it is smaller than the sum of its proper divisors (200336582545).

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

147630912200 is an equidigital number, since it uses as much as digits as its factorization.

147630912200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

Adding to 147630912200 its reverse (2219036741), we get a palindrome (149849948941).

The spelling of 147630912200 in words is "one hundred forty-seven billion, six hundred thirty million, nine hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 269 404 505 538 808 1010 1076 1345 2020 2152 2525 2690 4040 5050 5380 6725 10100 10201 10760 13450 20200 20402 26900 27169 40804 51005 53800 54338 72361 81608 102010 108676 135845 144722 204020 217352 255025 271690 289444 361805 408040 510050 543380 578888 679225 723610 1020100 1086760 1358450 1447220 1809025 2040200 2716900 2744069 2894440 3618050 5433800 5488138 7236100 7308461 10976276 13720345 14472200 14616922 21952552 27440690 29233844 36542305 54881380 58467688 68601725 73084610 109762760 137203450 146169220 182711525 274406900 292338440 365423050 548813800 730846100 738154561 1461692200 1476309122 2952618244 3690772805 5905236488 7381545610 14763091220 18453864025 29526182440 36907728050 73815456100 147630912200