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1880106228 = 22347112131731
BaseRepresentation
bin111000000010000…
…0010010011110100
311212000202021220000
41300010002103310
512322301344403
6510321111300
764406432160
oct16004022364
94760667800
101880106228
118852a8700
12445788530
1323c6898c0
1413b9a9ca0
15b00cd7a3
hex701024f4

1880106228 has 720 divisors, whose sum is σ = 7267341312. Its totient is φ = 410572800.

The previous prime is 1880106223. The next prime is 1880106233. The reversal of 1880106228 is 8226010881.

1880106228 is a `hidden beast` number, since 18 + 8 + 0 + 10 + 622 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1880106223) and next prime (1880106233).

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

It is a junction number, because it is equal to n+sod(n) for n = 1880106192 and 1880106201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880106223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60648573 + ... + 60648603.

Almost surely, 21880106228 is an apocalyptic number.

1880106228 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 1880106228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633670656).

1880106228 is an abundant number, since it is smaller than the sum of its proper divisors (5387235084).

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

1880106228 is a wasteful number, since it uses less digits than its factorization.

1880106228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1880106228 is about 43360.1917431185. The cubic root of 1880106228 is about 1234.2244039900.

The spelling of 1880106228 in words is "one billion, eight hundred eighty million, one hundred six thousand, two hundred twenty-eight".