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224069004 = 22343471993
BaseRepresentation
bin11010101101100…
…00010110001100
3120121121212220000
431112300112030
5424330202004
634122324300
75360361255
oct1526602614
9517555800
10224069004
111055323a5
1263059690
1337563813
1421a89b2c
1514a10c39
hexd5b058c

224069004 has 60 divisors (see below), whose sum is σ = 587743464. Its totient is φ = 74437056.

The previous prime is 224068997. The next prime is 224069029. The reversal of 224069004 is 400960422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 111432 + ... + 113424.

Almost surely, 2224069004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224069004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293871732).

224069004 is an abundant number, since it is smaller than the sum of its proper divisors (363674460).

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

224069004 is a wasteful number, since it uses less digits than its factorization.

224069004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224069004 is about 14968.9346314292. The cubic root of 224069004 is about 607.3801501111.

The spelling of 224069004 in words is "two hundred twenty-four million, sixty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 694 1041 1388 1993 2082 3123 3986 4164 5979 6246 7972 9369 11958 12492 17937 18738 23916 28107 35874 37476 53811 56214 71748 107622 112428 161433 215244 322866 645732 691571 1383142 2074713 2766284 4149426 6224139 8298852 12448278 18672417 24896556 37344834 56017251 74689668 112034502 224069004