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223214420 = 2251113174591
BaseRepresentation
bin11010100110111…
…11101101010100
3120120000110121202
431103133231110
5424120330140
634052132032
75350201622
oct1523375524
9516013552
10223214420
11104aa9330
1262907018
1337324850
1421906512
15148e2915
hexd4dfb54

223214420 has 96 divisors (see below), whose sum is σ = 583220736. Its totient is φ = 70502400.

The previous prime is 223214417. The next prime is 223214423. The reversal of 223214420 is 24412322.

It is an interprime number because it is at equal distance from previous prime (223214417) and next prime (223214423).

It is a super-3 number, since 3×2232144203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223214392 and 223214401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223214423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46325 + ... + 50915.

It is an arithmetic number, because the mean of its divisors is an integer number (6075216).

Almost surely, 2223214420 is an apocalyptic number.

223214420 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 223214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291610368).

223214420 is an abundant number, since it is smaller than the sum of its proper divisors (360006316).

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

223214420 is a wasteful number, since it uses less digits than its factorization.

223214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223214420 is about 14940.3621107388. The cubic root of 223214420 is about 606.6069974455.

Adding to 223214420 its reverse (24412322), we get a palindrome (247626742).

The spelling of 223214420 in words is "two hundred twenty-three million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4591 4862 9182 9724 12155 18364 22955 24310 45910 48620 50501 59683 78047 91820 101002 119366 156094 202004 238732 252505 298415 312188 390235 505010 596830 656513 780470 858517 1010020 1014611 1193660 1313026 1560940 1717034 2029222 2626052 3282565 3434068 4058444 4292585 5073055 6565130 8585170 10146110 11160721 13130260 17170340 20292220 22321442 44642884 55803605 111607210 223214420