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223304240 = 24523157773
BaseRepresentation
bin11010100111101…
…01101000110000
3120120012000211102
431103311220300
5424131213430
634054103532
75351024525
oct1523655060
9516160742
10223304240
1110505a865
126294aba8
13373566b3
142192b14c
151490e345
hexd4f5a30

223304240 has 80 divisors (see below), whose sum is σ = 545911488. Its totient is φ = 84784128.

The previous prime is 223304239. The next prime is 223304243. The reversal of 223304240 is 42403322.

223304240 is digitally balanced in base 2, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (223304243) 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, 288494 + ... + 289266.

Almost surely, 2223304240 is an apocalyptic number.

223304240 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 223304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272955744).

223304240 is an abundant number, since it is smaller than the sum of its proper divisors (322607248).

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

223304240 is a wasteful number, since it uses less digits than its factorization.

223304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 223304240 is about 14943.3677596451. The cubic root of 223304240 is about 606.6883514099.

Adding to 223304240 its reverse (42403322), we get a palindrome (265707562).

The spelling of 223304240 in words is "two hundred twenty-three million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 157 184 230 314 368 460 628 773 785 920 1256 1546 1570 1840 2512 3092 3140 3611 3865 6184 6280 7222 7730 12368 12560 14444 15460 17779 18055 28888 30920 35558 36110 57776 61840 71116 72220 88895 121361 142232 144440 177790 242722 284464 288880 355580 485444 606805 711160 970888 1213610 1422320 1941776 2427220 2791303 4854440 5582606 9708880 11165212 13956515 22330424 27913030 44660848 55826060 111652120 223304240