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221044120 = 235114112253
BaseRepresentation
bin11010010110011…
…01110110011000
3120101221012112021
431023031312120
5423041402440
633533424224
75322562333
oct1513156630
9511835467
10221044120
111038567a0
126203b074
1336a44a4b
14214dd61a
151461484a
hexd2cdd98

221044120 has 64 divisors (see below), whose sum is σ = 555841440. Its totient is φ = 78412800.

The previous prime is 221044111. The next prime is 221044121. The reversal of 221044120 is 21440122.

It is a junction number, because it is equal to n+sod(n) for n = 221044094 and 221044103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221044121) 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, 11914 + ... + 24166.

Almost surely, 2221044120 is an apocalyptic number.

221044120 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 221044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277920720).

221044120 is an abundant number, since it is smaller than the sum of its proper divisors (334797320).

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

221044120 is a wasteful number, since it uses less digits than its factorization.

221044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 221044120 is about 14867.5525894479. The cubic root of 221044120 is about 604.6345902623.

Adding to 221044120 its reverse (21440122), we get a palindrome (242484242).

The spelling of 221044120 in words is "two hundred twenty-one million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 12253 18040 24506 49012 61265 98024 122530 134783 245060 269566 490120 502373 539132 673915 1004746 1078264 1347830 2009492 2511865 2695660 4018984 5023730 5391320 5526103 10047460 11052206 20094920 22104412 27630515 44208824 55261030 110522060 221044120