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223663640 = 235431091193
BaseRepresentation
bin11010101010011…
…01011000011000
3120120212021211112
431111031120120
5424224214030
634105515452
75354052404
oct1525153030
9516767745
10223663640
11105285892
1262aa2b88
1337451165
14219c2104
1514980a95
hexd54d618

223663640 has 64 divisors (see below), whose sum is σ = 520106400. Its totient is φ = 86510592.

The previous prime is 223663639. The next prime is 223663681. The reversal of 223663640 is 46366322.

It is a junction number, because it is equal to n+sod(n) for n = 223663597 and 223663606.

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 15 ways as a sum of consecutive naturals, for example, 186884 + ... + 188076.

Almost surely, 2223663640 is an apocalyptic number.

223663640 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 223663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260053200).

223663640 is an abundant number, since it is smaller than the sum of its proper divisors (296442760).

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

223663640 is a wasteful number, since it uses less digits than its factorization.

223663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 223663640 is about 14955.3883266199. The cubic root of 223663640 is about 607.0136578471.

The spelling of 223663640 in words is "two hundred twenty-three million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 109 172 215 218 344 430 436 545 860 872 1090 1193 1720 2180 2386 4360 4687 4772 5965 9374 9544 11930 18748 23435 23860 37496 46870 47720 51299 93740 102598 130037 187480 205196 256495 260074 410392 512990 520148 650185 1025980 1040296 1300370 2051960 2600740 5201480 5591591 11183182 22366364 27957955 44732728 55915910 111831820 223663640