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223902420 = 223572632027
BaseRepresentation
bin11010101100001…
…11101011010100
3120121022102101020
431112013223110
5424304334140
634115001140
75356065510
oct1526075324
9517272336
10223902420
11105429225
1262b991b0
1337505a51
1421a45140
15149cb6d0
hexd587ad4

223902420 has 96 divisors (see below), whose sum is σ = 719566848. Its totient is φ = 50957952.

The previous prime is 223902379. The next prime is 223902431. The reversal of 223902420 is 24209322.

223902420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109447 + ... + 111473.

It is an arithmetic number, because the mean of its divisors is an integer number (7495488).

Almost surely, 2223902420 is an apocalyptic number.

223902420 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 223902420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359783424).

223902420 is an abundant number, since it is smaller than the sum of its proper divisors (495664428).

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

223902420 is a wasteful number, since it uses less digits than its factorization.

223902420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 223902420 is about 14963.3692729946. The cubic root of 223902420 is about 607.2295939617.

The spelling of 223902420 in words is "two hundred twenty-three million, nine hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 263 420 526 789 1052 1315 1578 1841 2027 2630 3156 3682 3945 4054 5260 5523 6081 7364 7890 8108 9205 10135 11046 12162 14189 15780 18410 20270 22092 24324 27615 28378 30405 36820 40540 42567 55230 56756 60810 70945 85134 110460 121620 141890 170268 212835 283780 425670 533101 851340 1066202 1599303 2132404 2665505 3198606 3731707 5331010 6397212 7463414 7996515 10662020 11195121 14926828 15993030 18658535 22390242 31986060 37317070 44780484 55975605 74634140 111951210 223902420