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2150001000 = 233253734127
BaseRepresentation
bin1000000000100110…
…0110100101101000
312112211121100220200
42000021212211220
513400400013000
6553201552200
7104164464330
oct20011464550
95484540820
102150001000
11a0368a634
12500045660
13283576854
141657840c0
15c8b42500
hex80266968

2150001000 has 192 divisors, whose sum is σ = 8305390080. Its totient is φ = 491414400.

The previous prime is 2150000933. The next prime is 2150001011. The reversal of 2150001000 is 1000512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45937 + ... + 80063.

It is an arithmetic number, because the mean of its divisors is an integer number (43257240).

Almost surely, 22150001000 is an apocalyptic number.

2150001000 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 2150001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152695040).

2150001000 is an abundant number, since it is smaller than the sum of its proper divisors (6155389080).

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

2150001000 is a wasteful number, since it uses less digits than its factorization.

2150001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34161 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2150001000 is about 46368.1032607546. The cubic root of 2150001000 is about 1290.6630807768.

Adding to 2150001000 its reverse (1000512), we get a palindrome (2151001512).

It can be divided in two parts, 215000 and 1000, that added together give a cube (216000 = 603).

The spelling of 2150001000 in words is "two billion, one hundred fifty million, one thousand".