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201003220 = 225113472633
BaseRepresentation
bin10111111101100…
…01000011010100
3112000020000120201
423332301003110
5402424100340
631540110244
74660333135
oct1376610324
9460200521
10201003220
11a3508770
1257395384
1332848b22
141c9a3c8c
15129a679a
hexbfb10d4

201003220 has 48 divisors (see below), whose sum is σ = 461982528. Its totient is φ = 72853760.

The previous prime is 201003193. The next prime is 201003227. The reversal of 201003220 is 22300102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201003197 and 201003206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201003227) 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, 75024 + ... + 77656.

It is an arithmetic number, because the mean of its divisors is an integer number (9624636).

Almost surely, 2201003220 is an apocalyptic number.

201003220 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 201003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230991264).

201003220 is an abundant number, since it is smaller than the sum of its proper divisors (260979308).

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

201003220 is a wasteful number, since it uses less digits than its factorization.

201003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201003220 is about 14177.5604389472. The cubic root of 201003220 is about 585.7797282760.

Adding to 201003220 its reverse (22300102), we get a palindrome (223303322).

The spelling of 201003220 in words is "two hundred one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1388 1735 2633 3470 3817 5266 6940 7634 10532 13165 15268 19085 26330 28963 38170 52660 57926 76340 115852 144815 289630 579260 913651 1827302 3654604 4568255 9136510 10050161 18273020 20100322 40200644 50250805 100501610 201003220