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200200212320 = 25519101652033
BaseRepresentation
bin1011101001110011011…
…1001100111101100000
3201010202022000112011112
42322130313030331200
511240002223243240
6231545401202452
720315101504253
oct2723467147540
9633668015145
10200200212320
11779a4889729
1232972790428
1315b5694bcc4
14999291b09a
15531ad21665
hex2e9cdccf60

200200212320 has 96 divisors (see below), whose sum is σ = 502796458080. Its totient is φ = 75114086400.

The previous prime is 200200212299. The next prime is 200200212347. The reversal of 200200212320 is 23212002002.

It is a junction number, because it is equal to n+sod(n) for n = 200200212295 and 200200212304.

It is a congruent number.

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, 18977 + ... + 633056.

It is an arithmetic number, because the mean of its divisors is an integer number (5237463105).

Almost surely, 2200200212320 is an apocalyptic number.

200200212320 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 200200212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251398229040).

200200212320 is an abundant number, since it is smaller than the sum of its proper divisors (302596245760).

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

200200212320 is a wasteful number, since it uses less digits than its factorization.

200200212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652168 (or 652160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 200200212320 its reverse (23212002002), we get a palindrome (223412214322).

The spelling of 200200212320 in words is "two hundred billion, two hundred million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 152 160 190 202 304 380 404 505 608 760 808 1010 1520 1616 1919 2020 3040 3232 3838 4040 7676 8080 9595 15352 16160 19190 30704 38380 61408 76760 153520 307040 652033 1304066 2608132 3260165 5216264 6520330 10432528 12388627 13040660 20865056 24777254 26081320 49554508 52162640 61943135 65855333 99109016 104325280 123886270 131710666 198218032 247772540 263421332 329276665 396436064 495545080 526842664 658553330 991090160 1053685328 1251251327 1317106660 1982180320 2107370656 2502502654 2634213320 5005005308 5268426640 6256256635 10010010616 10536853280 12512513270 20020021232 25025026540 40040042464 50050053080 100100106160 200200212320