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223240344300100 = 22522976979429069
BaseRepresentation
bin110010110000100100110001…
…011010111110101001000100
31002021102120100102120022121201
4302300210301122332221010
5213230032211120100400
62110443110503352244
765010403561415641
oct6260446132765104
91067376312508551
10223240344300100
1165149775548036
1221055583752684
1397746218b2baa
143d1ac6704cdc8
151ac1ed893506a
hexcb09316bea44

223240344300100 has 36 divisors (see below), whose sum is σ = 501136083245700. Its totient is φ = 86216960556160.

The previous prime is 223240344300079. The next prime is 223240344300107. The reversal of 223240344300100 is 1003443042322.

It can be written as a sum of positive squares in 6 ways, for example, as 4437316972036 + 218803027328064 = 2106494^2 + 14791992^2 .

It is a super-3 number, since 3×2232403443001003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223240344300107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38489711635 + ... + 38489717434.

It is an arithmetic number, because the mean of its divisors is an integer number (13920446756825).

Almost surely, 2223240344300100 is an apocalyptic number.

223240344300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223240344300100 is an abundant number, since it is smaller than the sum of its proper divisors (277895738945600).

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

223240344300100 is a wasteful number, since it uses less digits than its factorization.

223240344300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76979429112 (or 76979429105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223240344300100 its reverse (1003443042322), we get a palindrome (224243787342422).

The spelling of 223240344300100 in words is "two hundred twenty-three trillion, two hundred forty billion, three hundred forty-four million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 76979429069 153958858138 307917716276 384897145345 769794290690 1539588581380 1924485726725 2232403443001 3848971453450 4464806886002 7697942906900 8929613772004 11162017215005 22324034430010 44648068860020 55810086075025 111620172150050 223240344300100