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223872 = 2731153
BaseRepresentation
bin110110101010000000
3102101002120
4312222000
524130442
64444240
71621455
oct665200
9371076
10223872
11143220
12a9680
137ab8c
145b82c
15464ec
hex36a80

223872 has 64 divisors (see below), whose sum is σ = 660960. Its totient is φ = 66560.

The previous prime is 223849. The next prime is 223903. The reversal of 223872 is 278322.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 27 + 215 + 83 + 310 + 73 + 217 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4198 + ... + 4250.

2223872 is an apocalyptic number.

223872 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 223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

223872 is an abundant number, since it is smaller than the sum of its proper divisors (437088).

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

223872 is a wasteful number, since it uses less digits than its factorization.

223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 223872 is about 473.1511386439. The cubic root of 223872 is about 60.7202092754.

It can be divided in two parts, 22 and 3872, that multiplied together give a cube (85184 = 443).

The spelling of 223872 in words is "two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5088 6784 6996 9328 10176 13992 18656 20352 27984 37312 55968 74624 111936 223872