Search a number
-
+
2154015000 = 233254151317
BaseRepresentation
bin1000000001100011…
…1010100100011000
312120010011022002100
42000120322210120
513402411440000
6553424003400
7104243553054
oct20030724430
95503138070
102154015000
11a05981395
12501460560
132843508b7
1416610ac64
15c9186a00
hex8063a918

2154015000 has 240 divisors, whose sum is σ = 7361331120. Its totient is φ = 568800000.

The previous prime is 2154014963. The next prime is 2154015007. The reversal of 2154015000 is 5104512.

2154015000 is a `hidden beast` number, since 215 + 401 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154015007) 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 59 ways as a sum of consecutive naturals, for example, 6794842 + ... + 6795158.

It is an arithmetic number, because the mean of its divisors is an integer number (30672213).

Almost surely, 22154015000 is an apocalyptic number.

2154015000 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 2154015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680665560).

2154015000 is an abundant number, since it is smaller than the sum of its proper divisors (5207316120).

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

2154015000 is a wasteful number, since it uses less digits than its factorization.

2154015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2154015000 is about 46411.3671421129. The cubic root of 2154015000 is about 1291.4657937138.

Adding to 2154015000 its reverse (5104512), we get a palindrome (2159119512).

The spelling of 2154015000 in words is "two billion, one hundred fifty-four million, fifteen thousand".