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201221222000 = 2453149675239
BaseRepresentation
bin1011101101100110111…
…0000010111001110000
3201020101110020012010212
42323121232002321300
511244100113101000
6232234553043252
720352310111001
oct2733156027160
9636343205125
10201221222000
1178379152387
1232bb86b6528
1315c8a334046
149a4c3771a8
15537a7a2c35
hex2ed9b82e70

201221222000 has 80 divisors (see below), whose sum is σ = 489819096000. Its totient is φ = 79948179200.

The previous prime is 201221221997. The next prime is 201221222039. The reversal of 201221222000 is 222122102.

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

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, 39620 + ... + 635619.

It is an arithmetic number, because the mean of its divisors is an integer number (6122738700).

Almost surely, 2201221222000 is an apocalyptic number.

201221222000 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 201221222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244909548000).

201221222000 is an abundant number, since it is smaller than the sum of its proper divisors (288597874000).

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

201221222000 is a wasteful number, since it uses less digits than its factorization.

201221222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675411 (or 675395 counting only the distinct ones).

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

Adding to 201221222000 its reverse (222122102), we get a palindrome (201443344102).

The spelling of 201221222000 in words is "two hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 745 1000 1192 1490 2000 2384 2980 3725 5960 7450 11920 14900 18625 29800 37250 59600 74500 149000 298000 675239 1350478 2700956 3376195 5401912 6752390 10803824 13504780 16880975 27009560 33761950 54019120 67523900 84404875 100610611 135047800 168809750 201221222 270095600 337619500 402442444 503053055 675239000 804884888 1006106110 1350478000 1609769776 2012212220 2515265275 4024424440 5030530550 8048848880 10061061100 12576326375 20122122200 25152652750 40244244400 50305305500 100610611000 201221222000