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223020120 = 233510118401
BaseRepresentation
bin11010100101100…
…00010001011000
3120112122121002110
431102300101120
5424043120440
634044032320
75345432301
oct1522602130
9515577073
10223020120
11104986354
12628326a0
133728728b
14218957a8
15148a5080
hexd4b0458

223020120 has 64 divisors (see below), whose sum is σ = 675721440. Its totient is φ = 58880000.

The previous prime is 223020097. The next prime is 223020143. The reversal of 223020120 is 21020322.

It is an interprime number because it is at equal distance from previous prime (223020097) and next prime (223020143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223020096 and 223020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920 + ... + 21320.

Almost surely, 2223020120 is an apocalyptic number.

223020120 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 223020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337860720).

223020120 is an abundant number, since it is smaller than the sum of its proper divisors (452701320).

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

223020120 is a wasteful number, since it uses less digits than its factorization.

223020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223020120 is about 14933.8581753008. The cubic root of 223020120 is about 606.4309366055.

Adding to 223020120 its reverse (21020322), we get a palindrome (244040442).

The spelling of 223020120 in words is "two hundred twenty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 18401 36802 55203 73604 92005 110406 147208 184010 220812 276015 368020 441624 552030 736040 1104060 1858501 2208120 3717002 5575503 7434004 9292505 11151006 14868008 18585010 22302012 27877515 37170020 44604024 55755030 74340040 111510060 223020120