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223555440 = 243517157349
BaseRepresentation
bin11010101001100…
…10111101110000
3120120122210102010
431110302331300
5424212233230
634103322520
75353122063
oct1524627560
9516583363
10223555440
11105211569
1262a50440
1337413b34
14219948da
151495d9b0
hexd532f70

223555440 has 160 divisors (see below), whose sum is σ = 740577600. Its totient is φ = 55590912.

The previous prime is 223555439. The next prime is 223555441. The reversal of 223555440 is 44555322.

223555440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223555439) and next prime (223555441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223555398 and 223555407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223555441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640386 + ... + 640734.

It is an arithmetic number, because the mean of its divisors is an integer number (4628610).

Almost surely, 2223555440 is an apocalyptic number.

223555440 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 223555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370288800).

223555440 is an abundant number, since it is smaller than the sum of its proper divisors (517022160).

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

223555440 is a wasteful number, since it uses less digits than its factorization.

223555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 223555440 is about 14951.7704637277. The cubic root of 223555440 is about 606.9157586511.

It can be divided in two parts, 2235 and 55440, that added together give a palindrome (57675).

The spelling of 223555440 in words is "two hundred twenty-three million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 157 170 204 240 255 272 314 340 349 408 471 510 628 680 698 785 816 942 1020 1047 1256 1360 1396 1570 1745 1884 2040 2094 2355 2512 2669 2792 3140 3490 3768 4080 4188 4710 5235 5338 5584 5933 6280 6980 7536 8007 8376 9420 10470 10676 11866 12560 13345 13960 16014 16752 17799 18840 20940 21352 23732 26690 27920 29665 32028 35598 37680 40035 41880 42704 47464 53380 54793 59330 64056 71196 80070 83760 88995 94928 106760 109586 118660 128112 142392 160140 164379 177990 213520 219172 237320 273965 284784 320280 328758 355980 438344 474640 547930 640560 657516 711960 821895 876688 931481 1095860 1315032 1423920 1643790 1862962 2191720 2630064 2794443 3287580 3725924 4383440 4657405 5588886 6575160 7451848 9314810 11177772 13150320 13972215 14903696 18629620 22355544 27944430 37259240 44711088 55888860 74518480 111777720 223555440