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1228938048 = 263313227241
BaseRepresentation
bin100100101000000…
…0001101101000000
310011122110112002000
41021100001231000
510004102004143
6321540224000
742311541522
oct11120015500
93148415060
101228938048
11580781388
122a369b000
131677b6ca0
14b9303a12
1572d54bd3
hex49401b40

1228938048 has 224 divisors, whose sum is σ = 3924117120. Its totient is φ = 374906880.

The previous prime is 1228938037. The next prime is 1228938119. The reversal of 1228938048 is 8408398221.

1228938048 is a `hidden beast` number, since 1 + 228 + 9 + 380 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1228937994 and 1228938012.

It is a congruent number.

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, 5099208 + ... + 5099448.

It is an arithmetic number, because the mean of its divisors is an integer number (17518380).

Almost surely, 21228938048 is an apocalyptic number.

1228938048 is a gapful number since it is divisible by the number (18) 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 1228938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962058560).

1228938048 is an abundant number, since it is smaller than the sum of its proper divisors (2695179072).

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

1228938048 is a wasteful number, since it uses less digits than its factorization.

1228938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1228938048 is about 35056.2126876250. The cubic root of 1228938048 is about 1071.1328288204.

The spelling of 1228938048 in words is "one billion, two hundred twenty-eight million, nine hundred thirty-eight thousand, forty-eight".