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200210202000992 = 2547347773496283
BaseRepresentation
bin101101100001011100010001…
…111110000111111001100000
3222020212220112012210002110102
4231201130101332013321200
5202220220443203012432
61545451144055521532
760112465305663611
oct5541342176077140
9866786465702412
10200210202000992
115887a740618927
121a5560b36892a8
1387939830a3521
143762322a0bc08
151822dd7ec3962
hexb61711f87e60

200210202000992 has 96 divisors (see below), whose sum is σ = 404233466015232. Its totient is φ = 97566277901824.

The previous prime is 200210202000961. The next prime is 200210202001021. The reversal of 200210202000992 is 299000202012002.

200210202000992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 403171283 + ... + 403667565.

It is an arithmetic number, because the mean of its divisors is an integer number (4210765270992).

Almost surely, 2200210202000992 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 200210202000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202116733007616).

200210202000992 is an abundant number, since it is smaller than the sum of its proper divisors (204023264014240).

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

200210202000992 is a wasteful number, since it uses less digits than its factorization.

200210202000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497460 (or 497452 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 200210202000992 its reverse (299000202012002), we get a palindrome (499210404012994).

The spelling of 200210202000992 in words is "two hundred trillion, two hundred ten billion, two hundred two million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 47 94 188 347 376 694 752 773 1388 1504 1546 2776 3092 5552 6184 11104 12368 16309 24736 32618 36331 65236 72662 130472 145324 260944 268231 290648 496283 521888 536462 581296 992566 1072924 1162592 1985132 2145848 3970264 4291696 7940528 8583392 12606857 15881056 23325301 25213714 46650602 50427428 93301204 100854856 172210201 186602408 201709712 344420402 373204816 383626759 403419424 688840804 746409632 767253518 1377681608 1534507036 2755363216 3069014072 5510726432 6138028144 8093879447 12276056288 16187758894 18030457673 32375517788 36060915346 64751035576 72121830692 129502071152 133118485373 144243661384 259004142304 266236970746 288487322768 532473941492 576974645536 1064947882984 2129895765968 4259791531936 6256568812531 12513137625062 25026275250124 50052550500248 100105101000496 200210202000992