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380228152320 = 210345916831
BaseRepresentation
bin1011000100001110101…
…11010010110000000000
31100100102202100102220000
411202013113102300000
522212201401333240
6450401400520000
736320256653142
oct5420727226000
91310382312800
10380228152320
11137287974615
1261835780000
1329b172c69a3
141459030ac92
159d55be8430
hex58875d2c00

380228152320 has 220 divisors, whose sum is σ = 1362524205504. Its totient is φ = 101394063360.

The previous prime is 380228152273. The next prime is 380228152321. The reversal of 380228152320 is 23251822083.

It is a happy number.

380228152320 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 281 + 52 + 320 = 666.

It is a super-2 number, since 2×3802281523202 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (380228152321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43696 + ... + 873135.

Almost surely, 2380228152320 is an apocalyptic number.

380228152320 is a gapful number since it is divisible by the number (30) 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 380228152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681262102752).

380228152320 is an abundant number, since it is smaller than the sum of its proper divisors (982296053184).

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

380228152320 is an equidigital number, since it uses as much as digits as its factorization.

380228152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916868 (or 916841 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 380228152320 in words is "three hundred eighty billion, two hundred twenty-eight million, one hundred fifty-two thousand, three hundred twenty".