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221210120 = 23517325309
BaseRepresentation
bin11010010111101…
…10011000001000
3120102020122020102
431023312120020
5423112210440
633541144532
75324153315
oct1513663010
9512218212
10221210120
1110395a48a
12620bb148
1336aa2481
1421543d0c
1514648b15
hexd2f6608

221210120 has 32 divisors (see below), whose sum is σ = 527002200. Its totient is φ = 83278848.

The previous prime is 221210111. The next prime is 221210131. The reversal of 221210120 is 21012122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 220403716 + 806404 = 14846^2 + 898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161975 + ... + 163334.

Almost surely, 2221210120 is an apocalyptic number.

221210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210120 is an abundant number, since it is smaller than the sum of its proper divisors (305792080).

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

221210120 is a wasteful number, since it uses less digits than its factorization.

221210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325337 (or 325333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221210120 is about 14873.1341686949. The cubic root of 221210120 is about 604.7859088124.

Adding to 221210120 its reverse (21012122), we get a palindrome (242222242).

The spelling of 221210120 in words is "two hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 325309 650618 1301236 1626545 2602472 3253090 5530253 6506180 11060506 13012360 22121012 27651265 44242024 55302530 110605060 221210120