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201222540 = 2232517193461
BaseRepresentation
bin10111111111001…
…10100110001100
3112000122011102200
423333212212030
5403003110130
631544521500
74662235431
oct1377464614
9460564380
10201222540
11a3648522
1257480290
13328c48bc
141ca1db88
15129eb760
hexbfe698c

201222540 has 144 divisors (see below), whose sum is σ = 680490720. Its totient is φ = 47831040.

The previous prime is 201222533. The next prime is 201222577. The reversal of 201222540 is 45222102.

201222540 is a `hidden beast` number, since 2 + 0 + 122 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56410 + ... + 59870.

It is an arithmetic number, because the mean of its divisors is an integer number (4725630).

Almost surely, 2201222540 is an apocalyptic number.

201222540 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 201222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340245360).

201222540 is an abundant number, since it is smaller than the sum of its proper divisors (479268180).

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

201222540 is a wasteful number, since it uses less digits than its factorization.

201222540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201222540 is about 14185.2930882657. The cubic root of 201222540 is about 585.9927041534.

Adding to 201222540 its reverse (45222102), we get a palindrome (246444642).

The spelling of 201222540 in words is "two hundred one million, two hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3461 3876 4845 5814 6460 6922 9690 10383 11628 13844 14535 17305 19380 20766 29070 31149 34610 41532 51915 58140 58837 62298 65759 69220 103830 117674 124596 131518 155745 176511 197277 207660 235348 263036 294185 311490 328795 353022 394554 529533 588370 591831 622980 657590 706044 789108 882555 986385 1059066 1117903 1176740 1183662 1315180 1765110 1972770 2118132 2235806 2367324 2647665 2959155 3353709 3530220 3945540 4471612 5295330 5589515 5918310 6707418 10061127 10590660 11179030 11836620 13414836 16768545 20122254 22358060 33537090 40244508 50305635 67074180 100611270 201222540