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2145370500 = 223253713331
BaseRepresentation
bin111111111011111…
…1100000110000100
312112111220010001200
41333313330012010
513343203324000
6552514422500
7104110230330
oct17767740604
95474803050
102145370500
11a01007679
124ba591a30
13282615000
14164cda7c0
15c852a500
hex7fdfc184

2145370500 has 576 divisors, whose sum is σ = 8649338880. Its totient is φ = 438048000.

The previous prime is 2145370499. The next prime is 2145370511. The reversal of 2145370500 is 50735412.

It is a happy number.

It is a super-2 number, since 2×21453705002 = 9205229164540500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69205485 + ... + 69205515.

It is a vampire number, since it can be written as 4231550700 (with its own digits).

Almost surely, 22145370500 is an apocalyptic number.

2145370500 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 2145370500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324669440).

2145370500 is an abundant number, since it is smaller than the sum of its proper divisors (6503968380).

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

2145370500 is a wasteful number, since it uses less digits than its factorization.

2145370500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2145370500 is about 46318.1443928834. The cubic root of 2145370500 is about 1289.7358391856.

The spelling of 2145370500 in words is "two billion, one hundred forty-five million, three hundred seventy thousand, five hundred".