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223096960 = 275359971
BaseRepresentation
bin11010100110000…
…11000010000000
3120112210111111101
431103003002000
5424103100320
634045424144
75346202312
oct1523030200
9515714441
10223096960
11104a29059
126286b054
13372b3248
14218b57b2
15148bcc0a
hexd4c3080

223096960 has 64 divisors (see below), whose sum is σ = 535377600. Its totient is φ = 88898560.

The previous prime is 223096957. The next prime is 223096961. The reversal of 223096960 is 69690322.

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

It is a super-3 number, since 3×2230969603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223096961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229275 + ... + 230245.

It is an arithmetic number, because the mean of its divisors is an integer number (8365275).

Almost surely, 2223096960 is an apocalyptic number.

223096960 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 223096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267688800).

223096960 is an abundant number, since it is smaller than the sum of its proper divisors (312280640).

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

223096960 is an equidigital number, since it uses as much as digits as its factorization.

223096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 223096960 is about 14936.4306311783. The cubic root of 223096960 is about 606.5005757671.

The spelling of 223096960 in words is "two hundred twenty-three million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 359 640 718 971 1436 1795 1942 2872 3590 3884 4855 5744 7180 7768 9710 11488 14360 15536 19420 22976 28720 31072 38840 45952 57440 62144 77680 114880 124288 155360 229760 310720 348589 621440 697178 1394356 1742945 2788712 3485890 5577424 6971780 11154848 13943560 22309696 27887120 44619392 55774240 111548480 223096960