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223472320 = 2653172203
BaseRepresentation
bin11010101000111…
…10101011000000
3120120111120101121
431110132223000
5424202103240
634101442024
75352324541
oct1524365300
9516446347
10223472320
11105165075
1262a10314
13373b5056
14219724c8
151494404a
hexd51eac0

223472320 has 56 divisors (see below), whose sum is σ = 534064464. Its totient is φ = 89066496.

The previous prime is 223472317. The next prime is 223472321. The reversal of 223472320 is 23274322.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (223472321) 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 7 ways as a sum of consecutive naturals, for example, 100339 + ... + 102541.

Almost surely, 2223472320 is an apocalyptic number.

223472320 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 223472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267032232).

223472320 is an abundant number, since it is smaller than the sum of its proper divisors (310592144).

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

223472320 is a wasteful number, since it uses less digits than its factorization.

223472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 223472320 is about 14948.9906013751. The cubic root of 223472320 is about 606.8405303448.

The spelling of 223472320 in words is "two hundred twenty-three million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2203 2536 3170 4406 5072 6340 8812 10144 11015 12680 17624 20288 22030 25360 35248 44060 50720 70496 88120 101440 140992 176240 352480 698351 704960 1396702 2793404 3491755 5586808 6983510 11173616 13967020 22347232 27934040 44694464 55868080 111736160 223472320