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223420560 = 24351184629
BaseRepresentation
bin11010101000100…
…10000010010000
3120120101221101120
431110102002100
5424143424220
634100402240
75352020616
oct1524220220
9516357346
10223420560
1110512a1a0
12629a6380
133739761c
142195b6b6
1514933a40
hexd512090

223420560 has 80 divisors (see below), whose sum is σ = 755576640. Its totient is φ = 54161920.

The previous prime is 223420543. The next prime is 223420567. The reversal of 223420560 is 65024322.

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 self number, because there is not a number n which added to its sum of digits gives 223420560.

It is not an unprimeable number, because it can be changed into a prime (223420567) 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, 39675 + ... + 44954.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2223420560 is an apocalyptic number.

223420560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223420560 is an abundant number, since it is smaller than the sum of its proper divisors (532156080).

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

223420560 is a wasteful number, since it uses less digits than its factorization.

223420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84656 (or 84650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 223420560 is about 14947.2592805504. The cubic root of 223420560 is about 606.7936751888.

Adding to 223420560 its reverse (65024322), we get a palindrome (288444882).

The spelling of 223420560 in words is "two hundred twenty-three million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 84629 169258 253887 338516 423145 507774 677032 846290 930919 1015548 1269435 1354064 1692580 1861838 2031096 2538870 2792757 3385160 3723676 4062192 4654595 5077740 5585514 6770320 7447352 9309190 10155480 11171028 13963785 14894704 18618380 20310960 22342056 27927570 37236760 44684112 55855140 74473520 111710280 223420560