Search a number
-
+
2150233506 = 233379710487
BaseRepresentation
bin1000000000101001…
…1111010110100010
312112212001011212000
42000022133112202
513400424433011
6553210544430
7104166453231
oct20012372642
95485034760
102150233506
11a03829293
12500138116
13283628625
14165804b18
15c8b8b356
hex8029f5a2

2150233506 has 32 divisors (see below), whose sum is σ = 4780010880. Its totient is φ = 716487408.

The previous prime is 2150233493. The next prime is 2150233523. The reversal of 2150233506 is 6053320512.

2150233506 is a `hidden beast` number, since 2 + 150 + 2 + 3 + 3 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2150233506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199795 + ... + 210281.

It is an arithmetic number, because the mean of its divisors is an integer number (149375340).

Almost surely, 22150233506 is an apocalyptic number.

2150233506 is an abundant number, since it is smaller than the sum of its proper divisors (2629777374).

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

2150233506 is a wasteful number, since it uses less digits than its factorization.

2150233506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14289 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2150233506 is about 46370.6103690689. The cubic root of 2150233506 is about 1290.7096041805.

The spelling of 2150233506 in words is "two billion, one hundred fifty million, two hundred thirty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 3797 7594 10487 11391 20974 22782 31461 34173 62922 68346 94383 102519 188766 205038 283149 566298 39819139 79638278 119457417 238914834 358372251 716744502 1075116753 2150233506