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2152168380 = 223651719457
BaseRepresentation
bin1000000001000111…
…0111101110111100
312112222200111000000
42000101313232330
513401423342010
6553320234300
7104222062245
oct20021675674
95488614000
102152168380
11a0492aa5a
1250090b990
13283b5521b
14165b89ccc
15c8e1e7c0
hex80477bbc

2152168380 has 336 divisors, whose sum is σ = 7568981280. Its totient is φ = 510603264.

The previous prime is 2152168321. The next prime is 2152168393. The reversal of 2152168380 is 838612512.

It is a happy number.

2152168380 is a `hidden beast` number, since 215 + 2 + 1 + 68 + 380 = 666.

2152168380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4709112 + ... + 4709568.

It is an arithmetic number, because the mean of its divisors is an integer number (22526730).

Almost surely, 22152168380 is an apocalyptic number.

2152168380 is a gapful number since it is divisible by the number (20) 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 2152168380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784490640).

2152168380 is an abundant number, since it is smaller than the sum of its proper divisors (5416812900).

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

2152168380 is a wasteful number, since it uses less digits than its factorization.

2152168380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2152168380 is about 46391.4688277920. The cubic root of 2152168380 is about 1291.0966337355.

The spelling of 2152168380 in words is "two billion, one hundred fifty-two million, one hundred sixty-eight thousand, three hundred eighty".