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223047040 = 2751492339
BaseRepresentation
bin11010100101101…
…10110110000000
3120112200222000111
431102312312000
5424100001130
634044401104
75345603626
oct1522666600
9515628014
10223047040
111049a45a7
1262846194
13372965c8
14218a1516
15148ad02a
hexd4b6d80

223047040 has 64 divisors (see below), whose sum is σ = 537030000. Its totient is φ = 88582144.

The previous prime is 223047029. The next prime is 223047073. The reversal of 223047040 is 40740322.

223047040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 94191 + ... + 96529.

Almost surely, 2223047040 is an apocalyptic number.

223047040 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 223047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268515000).

223047040 is an abundant number, since it is smaller than the sum of its proper divisors (313982960).

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

223047040 is a wasteful number, since it uses less digits than its factorization.

223047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 223047040 is about 14934.7594557127. The cubic root of 223047040 is about 606.4553356956.

Adding to 223047040 its reverse (40740322), we get a palindrome (263787362).

The spelling of 223047040 in words is "two hundred twenty-three million, forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2339 2384 2980 4678 4768 5960 9356 9536 11695 11920 18712 19072 23390 23840 37424 46780 47680 74848 93560 95360 149696 187120 299392 348511 374240 697022 748480 1394044 1496960 1742555 2788088 3485110 5576176 6970220 11152352 13940440 22304704 27880880 44609408 55761760 111523520 223047040