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223221324330 = 23254495523913
BaseRepresentation
bin1100111111100100000…
…1110001101000101010
3210100011200022011222200
43033321001301220222
512124124124334310
6250314011401030
722061426644014
oct3177101615052
9710150264880
10223221324330
1186738688934
1237318453176
13180851c0784
14ab381431b4
155c16e019c0
hex33f9071a2a

223221324330 has 48 divisors (see below), whose sum is σ = 581668144200. Its totient is φ = 59393101824.

The previous prime is 223221324301. The next prime is 223221324331. The reversal of 223221324330 is 33423122322.

223221324330 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 1 + 324 + 330 = 666.

223221324330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 218050707681 + 5170616649 = 466959^2 + 71907^2 .

It is a super-3 number, since 3×2232213243303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223221324294 and 223221324303.

It is not an unprimeable number, because it can be changed into a prime (223221324331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2721547 + ... + 2802366.

Almost surely, 2223221324330 is an apocalyptic number.

223221324330 is an abundant number, since it is smaller than the sum of its proper divisors (358446819870).

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

223221324330 is a wasteful number, since it uses less digits than its factorization.

223221324330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524375 (or 5524372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223221324330 its reverse (33423122322), we get a palindrome (256644446652).

The spelling of 223221324330 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 449 898 1347 2245 2694 4041 4490 6735 8082 13470 20205 40410 5523913 11047826 16571739 27619565 33143478 49715217 55239130 82858695 99430434 165717390 248576085 497152170 2480236937 4960473874 7440710811 12401184685 14881421622 22322132433 24802369370 37203554055 44644264866 74407108110 111610662165 223221324330