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223534320 = 24352932117
BaseRepresentation
bin11010101001011…
…01110011110000
3120120121201102220
431110231303300
5424211044240
634103041040
75353003362
oct1524556360
9516551386
10223534320
111051a7709
1262a40180
1337407339
142198ad32
15149575d0
hexd52dcf0

223534320 has 80 divisors (see below), whose sum is σ = 716873760. Its totient is φ = 57551872.

The previous prime is 223534313. The next prime is 223534321. The reversal of 223534320 is 23435322.

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 not an unprimeable number, because it can be changed into a prime (223534321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9099 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (8960922).

Almost surely, 2223534320 is an apocalyptic number.

223534320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223534320 is an abundant number, since it is smaller than the sum of its proper divisors (493339440).

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

223534320 is a wasteful number, since it uses less digits than its factorization.

223534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32162 (or 32156 counting only the distinct ones).

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

The square root of 223534320 is about 14951.0641761715. The cubic root of 223534320 is about 606.8966456226.

Adding to 223534320 its reverse (23435322), we get a palindrome (246969642).

The spelling of 223534320 in words is "two hundred twenty-three million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 32117 64234 96351 128468 160585 192702 256936 321170 385404 481755 513872 642340 770808 931393 963510 1284680 1541616 1862786 1927020 2569360 2794179 3725572 3854040 4656965 5588358 7451144 7708080 9313930 11176716 13970895 14902288 18627860 22353432 27941790 37255720 44706864 55883580 74511440 111767160 223534320