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223979140 = 225711145441
BaseRepresentation
bin11010101100110…
…10011010000100
3120121110022121201
431112122122010
5424314313030
634120352244
75356535260
oct1526323204
9517408551
10223979140
11105480930
1263015684
1337531948
1421a650a0
15149e42ca
hexd59a684

223979140 has 48 divisors (see below), whose sum is σ = 586422144. Its totient is φ = 69811200.

The previous prime is 223979137. The next prime is 223979143. The reversal of 223979140 is 41979322.

It is an interprime number because it is at equal distance from previous prime (223979137) and next prime (223979143).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 223979140.

It is not an unprimeable number, because it can be changed into a prime (223979143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71181 + ... + 74260.

It is an arithmetic number, because the mean of its divisors is an integer number (12217128).

Almost surely, 2223979140 is an apocalyptic number.

223979140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223979140 is an abundant number, since it is smaller than the sum of its proper divisors (362443004).

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

223979140 is a wasteful number, since it uses less digits than its factorization.

223979140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145468 (or 145466 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 223979140 is about 14965.9326471824. The cubic root of 223979140 is about 607.2989416334.

The spelling of 223979140 in words is "two hundred twenty-three million, nine hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 145441 290882 581764 727205 1018087 1454410 1599851 2036174 2908820 3199702 4072348 5090435 6399404 7999255 10180870 11198957 15998510 20361740 22397914 31997020 44795828 55994785 111989570 223979140