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223031120 = 245131911287
BaseRepresentation
bin11010100101100…
…10111101010000
3120112200011011212
431102302331100
5424043443440
634044155252
75345506334
oct1522627520
9515604155
10223031120
11104993644
1262838b28
133728c2a0
14218997c4
15148a8465
hexd4b2f50

223031120 has 80 divisors (see below), whose sum is σ = 587879040. Its totient is φ = 78008832.

The previous prime is 223031119. The next prime is 223031147. The reversal of 223031120 is 21130322.

It is a happy number.

223031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 223031095 and 223031104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14117 + ... + 25403.

It is an arithmetic number, because the mean of its divisors is an integer number (7348488).

Almost surely, 2223031120 is an apocalyptic number.

223031120 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 223031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293939520).

223031120 is an abundant number, since it is smaller than the sum of its proper divisors (364847920).

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

223031120 is a wasteful number, since it uses less digits than its factorization.

223031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 223031120 is about 14934.2264613873. The cubic root of 223031120 is about 606.4409067533.

Adding to 223031120 its reverse (21130322), we get a palindrome (244161442).

The spelling of 223031120 in words is "two hundred twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 11287 19760 22574 45148 56435 90296 112870 146731 180592 214453 225740 293462 428906 451480 586924 733655 857812 902960 1072265 1173848 1467310 1715624 2144530 2347696 2787889 2934620 3431248 4289060 5575778 5869240 8578120 11151556 11738480 13939445 17156240 22303112 27878890 44606224 55757780 111515560 223031120