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223473920 = 285712459
BaseRepresentation
bin11010101000111…
…11000100000000
3120120111122120212
431110133010000
5424202131140
634101453252
75352332315
oct1524370400
9516448525
10223473920
1110516629a
1262a11228
13373b59b7
1421972d0c
1514944765
hexd51f100

223473920 has 72 divisors (see below), whose sum is σ = 543049920. Its totient is φ = 88094720.

The previous prime is 223473883. The next prime is 223473923. The reversal of 223473920 is 29374322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (223473923) 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 7 ways as a sum of consecutive naturals, for example, 89651 + ... + 92109.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360).

Almost surely, 2223473920 is an apocalyptic number.

223473920 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 223473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524960).

223473920 is an abundant number, since it is smaller than the sum of its proper divisors (319576000).

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

223473920 is an equidigital number, since it uses as much as digits as its factorization.

223473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 223473920 is about 14949.0441165982. The cubic root of 223473920 is about 606.8419786114.

The spelling of 223473920 in words is "two hundred twenty-three million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 568 640 710 1136 1280 1420 2272 2459 2840 4544 4918 5680 9088 9836 11360 12295 18176 19672 22720 24590 39344 45440 49180 78688 90880 98360 157376 174589 196720 314752 349178 393440 629504 698356 786880 872945 1396712 1573760 1745890 2793424 3147520 3491780 5586848 6983560 11173696 13967120 22347392 27934240 44694784 55868480 111736960 223473920