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2119923432 = 23321123294013
BaseRepresentation
bin111111001011011…
…0111011011101000
312110202000021020200
41332112313123220
513320200022212
6550205152200
7103351023534
oct17626673350
95422007220
102119923432
11998706940
124b1b5b660
1327a275483
14161794bc4
15c61a06dc
hex7e5b76e8

2119923432 has 192 divisors, whose sum is σ = 6762787200. Its totient is φ = 593134080.

The previous prime is 2119923413. The next prime is 2119923439. The reversal of 2119923432 is 2343299112.

2119923432 is a `hidden beast` number, since 211 + 9 + 9 + 2 + 3 + 432 = 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 not an unprimeable number, because it can be changed into a prime (2119923439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526258 + ... + 530270.

It is an arithmetic number, because the mean of its divisors is an integer number (35222850).

Almost surely, 22119923432 is an apocalyptic number.

2119923432 is a gapful number since it is divisible by the number (22) 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 2119923432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381393600).

2119923432 is an abundant number, since it is smaller than the sum of its proper divisors (4642863768).

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

2119923432 is a wasteful number, since it uses less digits than its factorization.

2119923432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4081 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2119923432 is about 46042.6262500305. The cubic root of 2119923432 is about 1284.6161918538.

The spelling of 2119923432 in words is "two billion, one hundred nineteen million, nine hundred twenty-three thousand, four hundred thirty-two".