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223354320 = 24357132949
BaseRepresentation
bin11010101000000…
…01110111010000
3120120021120112020
431110001313100
5424134314240
634055131440
75351323530
oct1524016720
9516246466
10223354320
11105094452
1262973b80
1337373427
14219414c0
151491e0d0
hexd501dd0

223354320 has 80 divisors (see below), whose sum is σ = 791318400. Its totient is φ = 51052032.

The previous prime is 223354319. The next prime is 223354333. The reversal of 223354320 is 23453322.

223354320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64795 + ... + 68154.

It is an arithmetic number, because the mean of its divisors is an integer number (9891480).

Almost surely, 2223354320 is an apocalyptic number.

223354320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223354320 is an abundant number, since it is smaller than the sum of its proper divisors (567964080).

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

223354320 is a wasteful number, since it uses less digits than its factorization.

223354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132972 (or 132966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 223354320 is about 14945.0433254641. The cubic root of 223354320 is about 606.7337016186.

The spelling of 223354320 in words is "two hundred twenty-three million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 132949 265898 398847 531796 664745 797694 930643 1063592 1329490 1595388 1861286 1994235 2127184 2658980 2791929 3190776 3722572 3988470 4653215 5317960 5583858 6381552 7445144 7976940 9306430 10635920 11167716 13959645 14890288 15953880 18612860 22335432 27919290 31907760 37225720 44670864 55838580 74451440 111677160 223354320