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223088940 = 223253533511
BaseRepresentation
bin11010100110000…
…01000100101100
3120112210002111100
431103001010230
5424102321230
634045323100
75346140034
oct1523010454
9515702440
10223088940
11104a23028
1262866490
13372ac6b9
14218b28c4
15148ba660
hexd4c112c

223088940 has 72 divisors (see below), whose sum is σ = 678813408. Its totient is φ = 59304960.

The previous prime is 223088933. The next prime is 223089001. The reversal of 223088940 is 49880322.

It is a super-3 number, since 3×2230889403 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223088895 and 223088904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61785 + ... + 65295.

It is an arithmetic number, because the mean of its divisors is an integer number (9427964).

Almost surely, 2223088940 is an apocalyptic number.

223088940 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 223088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339406704).

223088940 is an abundant number, since it is smaller than the sum of its proper divisors (455724468).

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

223088940 is a wasteful number, since it uses less digits than its factorization.

223088940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 223088940 is about 14936.1621576629. The cubic root of 223088940 is about 606.4933080857.

The spelling of 223088940 in words is "two hundred twenty-three million, eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3511 3530 4236 5295 6354 7022 7060 10533 10590 12708 14044 15885 17555 21066 21180 31599 31770 35110 42132 52665 63198 63540 70220 105330 126396 157995 210660 315990 631980 1239383 2478766 3718149 4957532 6196915 7436298 11154447 12393830 14872596 18590745 22308894 24787660 37181490 44617788 55772235 74362980 111544470 223088940