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223400040 = 23352517417
BaseRepresentation
bin11010101000011…
…01000001101000
3120120100220020120
431110031001220
5424142300130
634100123240
75351604033
oct1524150150
9516326216
10223400040
11105115836
1262996520
133738b196
142195401a
151492c910
hexd50d068

223400040 has 64 divisors (see below), whose sum is σ = 672960960. Its totient is φ = 59328000.

The previous prime is 223400029. The next prime is 223400041. The reversal of 223400040 is 40004322.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 223399992 and 223400019.

It is not an unprimeable number, because it can be changed into a prime (223400041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26412 + ... + 33828.

It is an arithmetic number, because the mean of its divisors is an integer number (10515015).

Almost surely, 2223400040 is an apocalyptic number.

223400040 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 223400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336480480).

223400040 is an abundant number, since it is smaller than the sum of its proper divisors (449560920).

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

223400040 is a wasteful number, since it uses less digits than its factorization.

223400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 223400040 is about 14946.5728513262. The cubic root of 223400040 is about 606.7750976872.

Adding to 223400040 its reverse (40004322), we get a palindrome (263404362).

The spelling of 223400040 in words is "two hundred twenty-three million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 7417 7530 10040 14834 15060 22251 29668 30120 37085 44502 59336 74170 89004 111255 148340 178008 222510 296680 445020 890040 1861667 3723334 5585001 7446668 9308335 11170002 14893336 18616670 22340004 27925005 37233340 44680008 55850010 74466680 111700020 223400040