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201333220 = 225113153557
BaseRepresentation
bin11000000000000…
…01100111100100
3112000211210020221
430000001213210
5403020130340
631551134124
74663206214
oct1400014744
9460753227
10201333220
11a37136a0
1257514344
13329330aa
141ca4c244
1512a1e44a
hexc0019e4

201333220 has 96 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 69388800.

The previous prime is 201333157. The next prime is 201333221. The reversal of 201333220 is 22333102.

201333220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201333194 and 201333203.

It is not an unprimeable number, because it can be changed into a prime (201333221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361182 + ... + 361738.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2201333220 is an apocalyptic number.

201333220 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 201333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

201333220 is an abundant number, since it is smaller than the sum of its proper divisors (284635676).

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

201333220 is a wasteful number, since it uses less digits than its factorization.

201333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 201333220 is about 14189.1937755462. The cubic root of 201333220 is about 586.1001238370.

Adding to 201333220 its reverse (22333102), we get a palindrome (223666322).

The spelling of 201333220 in words is "two hundred one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 53 55 62 106 110 124 155 212 220 265 310 341 530 557 583 620 682 1060 1114 1166 1364 1643 1705 2228 2332 2785 2915 3286 3410 5570 5830 6127 6572 6820 8215 11140 11660 12254 16430 17267 18073 24508 29521 30635 32860 34534 36146 59042 61270 69068 72292 86335 90365 118084 122540 147605 172670 180730 189937 295210 324731 345340 361460 379874 590420 649462 759748 915151 949685 1298924 1623655 1830302 1899370 3247310 3660604 3798740 4575755 6494620 9151510 10066661 18303020 20133322 40266644 50333305 100666610 201333220