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200221011020220 = 223512763294151639
BaseRepresentation
bin101101100001100110010110…
…001111010000100110111100
3222020220221102111212011022220
4231201212112033100212330
5202220410112310121340
61545500132422405340
760113330206065321
oct5541462617204674
9866827374764286
10200221011020220
1158884287a73a73
121a55820b590850
1387949b6580ba8
143762a6a3a6b48
15182331bddaed0
hexb619963d09bc

200221011020220 has 96 divisors (see below), whose sum is σ = 565122565324800. Its totient is φ = 52963475572224.

The previous prime is 200221011020201. The next prime is 200221011020263. The reversal of 200221011020220 is 22020110122002.

200221011020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200221011020220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46151161 + ... + 50302799.

It is an arithmetic number, because the mean of its divisors is an integer number (5886693388800).

Almost surely, 2200221011020220 is an apocalyptic number.

200221011020220 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 200221011020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282561282662400).

200221011020220 is an abundant number, since it is smaller than the sum of its proper divisors (364901554304580).

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

200221011020220 is a wasteful number, since it uses less digits than its factorization.

200221011020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158107 (or 4158105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200221011020220 its reverse (22020110122002), we get a palindrome (222241121142222).

The spelling of 200221011020220 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 6329 7620 12658 18987 25316 31645 37974 63290 75948 94935 126580 189870 379740 803783 1607566 2411349 3215132 4018915 4151639 4822698 8037830 8303278 9645396 12056745 12454917 16075660 16606556 20758195 24113490 24909834 41516390 48226980 49819668 62274585 83032780 124549170 249098340 527258153 1054516306 1581774459 2109032612 2636290765 3163548918 5272581530 6327097836 7908872295 10545163060 15817744590 26275723231 31635489180 52551446462 78827169693 105102892924 131378616155 157654339386 262757232310 315308678772 394135848465 525514464620 788271696930 1576543393860 3337016850337 6674033700674 10011050551011 13348067401348 16685084251685 20022101102022 33370168503370 40044202204044 50055252755055 66740337006740 100110505510110 200221011020220