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1223283264 = 26374361347
BaseRepresentation
bin100100011101001…
…1101001001000000
310011020211020011120
41020322131021000
510001130031024
6321215112240
742212510340
oct11072351100
93136736146
101223283264
11578569905
122a1812680
13166587168
14b8670d20
15725d9479
hex48e9d240

1223283264 has 224 divisors, whose sum is σ = 3858134016. Its totient is φ = 334817280.

The previous prime is 1223283247. The next prime is 1223283283. The reversal of 1223283264 is 4623823221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525139 + ... + 3525485.

Almost surely, 21223283264 is an apocalyptic number.

1223283264 is a gapful number since it is divisible by the number (14) 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 1223283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929067008).

1223283264 is an abundant number, since it is smaller than the sum of its proper divisors (2634850752).

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

1223283264 is a wasteful number, since it uses less digits than its factorization.

1223283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 1223283264 is about 34975.4666016052. The cubic root of 1223283264 is about 1069.4874139590.

The spelling of 1223283264 in words is "one billion, two hundred twenty-three million, two hundred eighty-three thousand, two hundred sixty-four".