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1223000046 = 23514916889
BaseRepresentation
bin100100011100101…
…0111111111101110
310011020021211200000
41020321113333232
510001042000141
6321205045130
742210220542
oct11071277756
93136254600
101223000046
11578396044
122a16b67a6
131664b8288
14b85d9a22
15725805b6
hex48e57fee

1223000046 has 48 divisors (see below), whose sum is σ = 2766582000. Its totient is φ = 404906688.

The previous prime is 1223000039. The next prime is 1223000081. The reversal of 1223000046 is 6400003221.

It is a happy number.

It is a super-2 number, since 2×12230000462 = 2991458225032004232, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222999992 and 1223000028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63970 + ... + 80858.

It is an arithmetic number, because the mean of its divisors is an integer number (57637125).

Almost surely, 21223000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383291000).

1223000046 is an abundant number, since it is smaller than the sum of its proper divisors (1543581954).

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

1223000046 is a wasteful number, since it uses less digits than its factorization.

1223000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17055 (or 17043 counting only the distinct ones).

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

The square root of 1223000046 is about 34971.4175577714. The cubic root of 1223000046 is about 1069.4048706718.

Adding to 1223000046 its reverse (6400003221), we get a palindrome (7623003267).

The spelling of 1223000046 in words is "one billion, two hundred twenty-three million, forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 894 1341 2682 4023 8046 12069 16889 24138 33778 36207 50667 72414 101334 152001 304002 456003 912006 1368009 2516461 2736018 4104027 5032922 7549383 8208054 15098766 22648149 45296298 67944447 135888894 203833341 407666682 611500023 1223000046