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223456992 = 25311219237
BaseRepresentation
bin11010101000110…
…10111011100000
3120120110210100220
431110122323200
5424201110432
634101243040
75352232053
oct1524327340
9516423326
10223456992
11105154600
1262a03480
13373ab095
142196aa9a
151493e72c
hexd51aee0

223456992 has 72 divisors (see below), whose sum is σ = 644780808. Its totient is φ = 67710720.

The previous prime is 223456991. The next prime is 223456997. The reversal of 223456992 is 299654322.

223456992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223456991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1998 + ... + 21234.

It is an arithmetic number, because the mean of its divisors is an integer number (8955289).

Almost surely, 2223456992 is an apocalyptic number.

223456992 is a gapful number since it is divisible by the number (22) 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 223456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322390404).

223456992 is an abundant number, since it is smaller than the sum of its proper divisors (421323816).

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

223456992 is a wasteful number, since it uses less digits than its factorization.

223456992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272 (or 19253 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 223456992 is about 14948.4779158281. The cubic root of 223456992 is about 606.8266555998.

The spelling of 223456992 in words is "two hundred twenty-three million, four hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 19237 38474 57711 76948 115422 153896 211607 230844 307792 423214 461688 615584 634821 846428 923376 1269642 1692856 1846752 2327677 2539284 3385712 4655354 5078568 6771424 6983031 9310708 10157136 13966062 18621416 20314272 27932124 37242832 55864248 74485664 111728496 223456992