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223823999268 = 223217365725489
BaseRepresentation
bin1101000001110011110…
…0110011000100100100
3210101201200100020120200
43100130330303010210
512131342420434033
6250453501030500
722112365413552
oct3203474630444
9711650306520
10223823999268
1186a178a34a1
1237466255430
1318150014a6c
14ab941c4bd2
155c4ec9c013
hex341cf33124

223823999268 has 36 divisors (see below), whose sum is σ = 599058352620. Its totient is φ = 70219293696.

The previous prime is 223823999263. The next prime is 223823999381. The reversal of 223823999268 is 862999328322.

223823999268 is a `hidden beast` number, since 2 + 23 + 82 + 399 + 92 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203922690084 + 19901309184 = 451578^2 + 141072^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (223823999263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182862133 + ... + 182863356.

It is an arithmetic number, because the mean of its divisors is an integer number (16640509795).

Almost surely, 2223823999268 is an apocalyptic number.

It is an amenable number.

223823999268 is an abundant number, since it is smaller than the sum of its proper divisors (375234353352).

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

223823999268 is a wasteful number, since it uses less digits than its factorization.

223823999268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365725516 (or 365725511 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 223823999268 in words is "two hundred twenty-three billion, eight hundred twenty-three million, nine hundred ninety-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 365725489 731450978 1097176467 1462901956 2194352934 3291529401 4388705868 6217333313 6583058802 12434666626 13166117604 18651999939 24869333252 37303999878 55955999817 74607999756 111911999634 223823999268