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123420224 = 267326417
BaseRepresentation
bin1110101101100…
…11111001000000
322121020101201102
413112303321000
5223043421344
620125153532
73026024504
oct726637100
9277211642
10123420224
1163738494
12353bb8a8
131c753925
141256a304
15ac7de4e
hex75b3e40

123420224 has 28 divisors (see below), whose sum is σ = 248276364. Its totient is φ = 60862464.

The previous prime is 123420203. The next prime is 123420229. The reversal of 123420224 is 422024321.

It can be written as a sum of positive squares in 2 ways, for example, as 43138624 + 80281600 = 6568^2 + 8960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123420196 and 123420205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8537 + ... + 17880.

It is an arithmetic number, because the mean of its divisors is an integer number (8867013).

Almost surely, 2123420224 is an apocalyptic number.

It is an amenable number.

123420224 is an abundant number, since it is smaller than the sum of its proper divisors (124856140).

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

123420224 is an equidigital number, since it uses as much as digits as its factorization.

123420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 123420224 is about 11109.4655136960. The cubic root of 123420224 is about 497.8846955945.

Adding to 123420224 its reverse (422024321), we get a palindrome (545444545).

The spelling of 123420224 in words is "one hundred twenty-three million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 26417 52834 105668 211336 422672 845344 1690688 1928441 3856882 7713764 15427528 30855056 61710112 123420224