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223456240 = 2457795051
BaseRepresentation
bin11010101000110…
…10101111110000
3120120110202100001
431110122233300
5424201044430
634101235344
75352226630
oct1524325760
9516422301
10223456240
11105153a87
1262a02b54
13373aa937
142196a6c0
151493e3ca
hexd51abf0

223456240 has 80 divisors (see below), whose sum is σ = 601390080. Its totient is φ = 75628800.

The previous prime is 223456229. The next prime is 223456243. The reversal of 223456240 is 42654322.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 223456199 and 223456208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223456243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41715 + ... + 46765.

It is an arithmetic number, because the mean of its divisors is an integer number (7517376).

Almost surely, 2223456240 is an apocalyptic number.

223456240 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 223456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300695040).

223456240 is an abundant number, since it is smaller than the sum of its proper divisors (377933840).

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

223456240 is a wasteful number, since it uses less digits than its factorization.

223456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 223456240 is about 14948.4527627444. The cubic root of 223456240 is about 606.8259748810.

The spelling of 223456240 in words is "two hundred twenty-three million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5051 5530 6320 8848 10102 11060 20204 22120 25255 35357 40408 44240 50510 70714 80816 101020 141428 176785 202040 282856 353570 399029 404080 565712 707140 798058 1414280 1596116 1995145 2793203 2828560 3192232 3990290 5586406 6384464 7980580 11172812 13966015 15961160 22345624 27932030 31922320 44691248 55864060 111728120 223456240