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201335220 = 223754603
BaseRepresentation
bin11000000000000…
…10000110110100
3112000211220000000
430000002012310
5403020211340
631551151300
74663215102
oct1400020664
9460756000
10201335220
11a3715149
1257515530
1332933c88
141ca4cc72
1512a1ed30
hexc0021b4

201335220 has 96 divisors (see below), whose sum is σ = 634247040. Its totient is φ = 53677728.

The previous prime is 201335219. The next prime is 201335231. The reversal of 201335220 is 22533102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201335193 and 201335202.

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, 41439 + ... + 46041.

It is an arithmetic number, because the mean of its divisors is an integer number (6606740).

Almost surely, 2201335220 is an apocalyptic number.

201335220 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 201335220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317123520).

201335220 is an abundant number, since it is smaller than the sum of its proper divisors (432911820).

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

201335220 is an equidigital number, since it uses as much as digits as its factorization.

201335220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 201335220 is about 14189.2642515389. The cubic root of 201335220 is about 586.1020645606.

Adding to 201335220 its reverse (22533102), we get a palindrome (223868322).

The spelling of 201335220 in words is "two hundred one million, three hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4603 4860 7290 8748 9206 10935 13809 14580 18412 21870 23015 27618 41427 43740 46030 55236 69045 82854 92060 124281 138090 165708 207135 248562 276180 372843 414270 497124 621405 745686 828540 1118529 1242810 1491372 1864215 2237058 2485620 3355587 3728430 4474116 5592645 6711174 7456860 10066761 11185290 13422348 16777935 20133522 22370580 33555870 40267044 50333805 67111740 100667610 201335220