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123223104 = 2632213929
BaseRepresentation
bin1110101100000…
…11110001000000
322120212101022200
413112003301000
5223021114404
620121033200
73024244014
oct726036100
9276771280
10123223104
1163613384
1235325800
131c6b4ca4
1412518544
15ac40839
hex7583c40

123223104 has 42 divisors (see below), whose sum is σ = 353198430. Its totient is φ = 41074176.

The previous prime is 123223103. The next prime is 123223181. The reversal of 123223104 is 401322321.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 7617600 = 10752^2 + 2760^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123223103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106389 + ... + 107540.

Almost surely, 2123223104 is an apocalyptic number.

It is an amenable number.

123223104 is an abundant number, since it is smaller than the sum of its proper divisors (229975326).

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

123223104 is a wasteful number, since it uses less digits than its factorization.

123223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213947 (or 213934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123223104 is about 11100.5902545766. The cubic root of 123223104 is about 497.6194896610.

Adding to 123223104 its reverse (401322321), we get a palindrome (524545425).

It can be divided in two parts, 1232 and 23104, that added together give a square (24336 = 1562).

The spelling of 123223104 in words is "one hundred twenty-three million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 213929 427858 641787 855716 1283574 1711432 1925361 2567148 3422864 3850722 5134296 6845728 7701444 10268592 13691456 15402888 20537184 30805776 41074368 61611552 123223104