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1229268096 = 2733731761
BaseRepresentation
bin100100101000101…
…0010010010000000
310011200002021211000
41021101102102000
510004143034341
6321551252000
742314415000
oct11121222200
93150067730
101229268096
11580987351
122a381a000
131678a1294
14b938c000
1572dbc8b6
hex49452480

1229268096 has 512 divisors, whose sum is σ = 4553280000. Its totient is φ = 325140480.

The previous prime is 1229268083. The next prime is 1229268163. The reversal of 1229268096 is 6908629221.

It is a super-2 number, since 2×12292680962 = 3022200103686930432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20151906 + ... + 20151966.

It is an arithmetic number, because the mean of its divisors is an integer number (8893125).

Almost surely, 21229268096 is an apocalyptic number.

1229268096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640000).

1229268096 is an abundant number, since it is smaller than the sum of its proper divisors (3324011904).

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

1229268096 is an equidigital number, since it uses as much as digits as its factorization.

1229268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1229268096 is about 35060.9197825727. The cubic root of 1229268096 is about 1071.2287093262.

The spelling of 1229268096 in words is "one billion, two hundred twenty-nine million, two hundred sixty-eight thousand, ninety-six".