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202220001122000 = 2453465121739411
BaseRepresentation
bin101101111110101100000011…
…010101010101011011010000
3222112000001011120101212101012
4231332230003111111123100
5203001133030241401000
61554030330330030052
760410625066435611
oct5576540325253320
9875001146355335
10202220001122000
1159485025850324
121a81b711278328
1388ab358820944
1437d1700a8dc08
15185a3163ce735
hexb7eb035556d0

202220001122000 has 80 divisors (see below), whose sum is σ = 489073117001664. Its totient is φ = 80870605200000.

The previous prime is 202220001121993. The next prime is 202220001122003. The reversal of 202220001122000 is 221100022202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202220001122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567706 + ... + 20171705.

Almost surely, 2202220001122000 is an apocalyptic number.

202220001122000 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 202220001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244536558500832).

202220001122000 is an abundant number, since it is smaller than the sum of its proper divisors (286853115879664).

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

202220001122000 is a wasteful number, since it uses less digits than its factorization.

202220001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21744085 (or 21744069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202220001122000 its reverse (221100022202), we get a palindrome (202441101144202).

The spelling of 202220001122000 in words is "two hundred two trillion, two hundred twenty billion, one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4651 9302 18604 23255 37208 46510 74416 93020 116275 186040 232550 372080 465100 581375 930200 1162750 1860400 2325500 4651000 9302000 21739411 43478822 86957644 108697055 173915288 217394110 347830576 434788220 543485275 869576440 1086970550 1739152880 2173941100 2717426375 4347882200 5434852750 8695764400 10869705500 21739411000 43478822000 101110000561 202220001122 404440002244 505550002805 808880004488 1011100005610 1617760008976 2022200011220 2527750014025 4044400022440 5055500028050 8088800044880 10111000056100 12638750070125 20222000112200 25277500140250 40444000224400 50555000280500 101110000561000 202220001122000