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223211040 = 25351335771
BaseRepresentation
bin11010100110111…
…10111000100000
3120120000021222120
431103132320200
5424120223130
634052104240
75350156023
oct1523367040
9516007876
10223211040
11104aa6838
1262905080
1337323150
14219051ba
15148e1910
hexd4dee20

223211040 has 96 divisors (see below), whose sum is σ = 757221696. Its totient is φ = 54942720.

The previous prime is 223210957. The next prime is 223211063. The reversal of 223211040 is 40112322.

223211040 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 (96).

It is a super-3 number, since 3×2232110403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11646 + ... + 24125.

It is an arithmetic number, because the mean of its divisors is an integer number (7887726).

Almost surely, 2223211040 is an apocalyptic number.

223211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223211040 is an abundant number, since it is smaller than the sum of its proper divisors (534010656).

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

223211040 is a wasteful number, since it uses less digits than its factorization.

223211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35802 (or 35794 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 223211040 is about 14940.2489939090. The cubic root of 223211040 is about 606.6039356033.

Adding to 223211040 its reverse (40112322), we get a palindrome (263323362).

The spelling of 223211040 in words is "two hundred twenty-three million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 35771 71542 107313 143084 178855 214626 286168 357710 429252 465023 536565 572336 715420 858504 930046 1073130 1144672 1395069 1430840 1717008 1860092 2146260 2325115 2790138 2861680 3434016 3720184 4292520 4650230 5580276 5723360 6975345 7440368 8585040 9300460 11160552 13950690 14880736 17170080 18600920 22321104 27901380 37201840 44642208 55802760 74403680 111605520 223211040