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1228961232 = 243219144683
BaseRepresentation
bin100100101000000…
…0111010111010000
310011122111200212200
41021100013113100
510004103224412
6321540523200
742311666232
oct11120072720
93148450780
101228961232
11580797844
122a36b0500
131677c46c5
14b930c252
1572d5b9dc
hex494075d0

1228961232 has 60 divisors (see below), whose sum is σ = 3457469184. Its totient is φ = 407499840.

The previous prime is 1228961207. The next prime is 1228961243. The reversal of 1228961232 is 2321698221.

It is a happy number.

1228961232 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 612 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5163 + ... + 49845.

Almost surely, 21228961232 is an apocalyptic number.

1228961232 is a gapful number since it is divisible by the number (12) 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 1228961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728734592).

1228961232 is an abundant number, since it is smaller than the sum of its proper divisors (2228507952).

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

1228961232 is a wasteful number, since it uses less digits than its factorization.

1228961232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44888 (or 44879 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1228961232 is about 35056.5433549858. The cubic root of 1228961232 is about 1071.1395644427.

The spelling of 1228961232 in words is "one billion, two hundred twenty-eight million, nine hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4584 6876 9168 13752 27504 44683 89366 134049 178732 268098 357464 402147 536196 714928 804294 1072392 1608588 2144784 3217176 6434352 8534453 17068906 25603359 34137812 51206718 68275624 76810077 102413436 136551248 153620154 204826872 307240308 409653744 614480616 1228961232